• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Solutions for Class 12 English Flamingo and Vistas
    • NCERT Solutions for Class 11 English
    • NCERT Solutions for Class 11 Hindi
    • NCERT Solutions for Class 12 Hindi
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

Properties of Triangles – Maharashtra Board Class 6 Solutions for Mathematics

Contents

  • 1 Properties of Triangles – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)
    • 1.1 Exercise-76
    • 1.2 Exercise-77

Properties of Triangles – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)

MathematicsGeneral ScienceMaharashtra Board Solutions

Exercise-76

Solution 1:
By the property of exterior angle of a triangle,
m∠XZP = m∠XYZ + m∠YXZ
∴ 90° = m∠XYZ + 55°
∴ m∠XYZ = 90° – 55°
∴ m∠XYZ = 35°

Solution 2:
By the property of exterior angle of a triangle,
m∠BCD = m∠BAC + m∠ABC
∴ 130° = m∠BAC + 60°
∴ m∠BAC = 130° – 60°
∴ m∠BAC = 70°

Solution 3:
The sum of the measures of the three angles of a triangle is 180°.
Thus, in ∆PST,
m∠P + m∠S + m∠PTS = 180°
∴ 60° + 80° + m∠PTS = 180°
∴ 140° + m∠PTS = 180°
∴ m∠PTS = 180° – 140°
∴ m∠PTS = 40°
Now, By the property of exterior angle of a triangle,
m∠PTN = m∠P + m∠S
∴ m∠PTN = 60° + 80°
∴ m∠PTN = 140°

Solution 4:
The sum of the measures of the three angles of a triangle is 180°.
Thus, in ∆RST,
m∠R + m∠S + m∠T = 180°
∴ 70° + 30° + m∠T = 180°
∴ 100° + m∠T = 180°
∴ m∠T = 180° – 100°
∴ m∠T = 80°

Solution 5:
By the property of exterior angle of a triangle,
m∠TRM = m∠N + m∠T
∴ m∠TRM = 30° + 80°
∴ m∠TRM = 110°

Solution 6:
By the property of exterior angle of a triangle,
m∠ACD = m∠A + m∠B
∴ m∠ACD = m∠A + m∠A (∵ m∠A = m∠B)
∴ m∠ACD = 2 × m∠A
∴ 140° = 2 × m∠A
∴ m∠A = 70° (dividing both sides by 2)
∴ m∠A = m∠B = 70°

Exercise-77

Solution 1:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

  1. l(AP) + l(BP) > l(AB)
  2. l(AP) + l(CP) >l(AC)
  3. l(BP)+ l(CP) > l(BC)
  4. l(AB) + l(AC)> l(BC)

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers
  • The Summer Of The Beautiful White Horse Answers
  • Job Application Letter class 12 Samples
  • Science Lab Manual Class 9
  • Letter to The Editor Class 12 Samples
  • Unseen Passage For Class 6 Answers
  • NCERT Solutions for Class 12 Hindi Core
  • Invitation and Replies Class 12 Examples
  • Advertisement Writing Class 11 Examples
  • Lab Manual Class 10 Science

Recent Posts

  • Coefficient of Linear Expansion : Definition, Unit and Solved Examples
  • Maharashtra Board Class 10 Solutions for English Reader – To My Beloved Motherland, India
  • Maharashtra Board Class 10 Solutions for English Reader – Food as Love
  • Maharashtra Board Class 10 Solutions for English Reader – Quick Fix Food
  • Maharashtra Board Class 10 Solutions for English Reader – Nehru’s Letter to Children
  • Maharashtra Board Class 10 Solutions for English Reader – Saving the Environment
  • Maharashtra Board Class 10 Solutions for English Reader – Mother Nature
  • Maharashtra Board Class 10 Solutions for English Reader – On Another’s Sorrow
  • Maharashtra Board Class 10 Solutions for English Reader – What’s Gravity?
  • Maharashtra Board Class 10 Solutions for English Reader – Speaking to Virdhawal Khade
  • Maharashtra Board Class 10 Solutions for English Reader – Relishing Excellence
  • Maharashtra Board Class 10 Solutions for English Reader – Mai
  • Maharashtra Board Class 10 Solutions for English Reader – Leopard that Strayed into School Trapped
  • Maharashtra Board Class 10 Solutions for English Reader – Unexplored Beauty
  • Maharashtra Board Class 10 Solutions for English Reader – Food and Health

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions