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**Triangles and Types of Triangles – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)**

MathematicsGeneral ScienceMaharashtra Board Solutions

### Exercise-74

**Solution 1:**

- Exterior angles of the triangle are ∠AXY, ∠BXZ, ∠CZX, ∠DZY, ∠FYZ, and ∠EYX.
- Angles which are neither angles of the triangle nor its exterior angles are ∠AXB, ∠EYF, and ∠CZD.

**Solution 2:**

- ∠DPQ and ∠LPR.
- ∠PRM and ∠QRN.
- No, because ∠SQT does not form a linear pair with any angle of ΔPQR.
- ∠PQR.

**Solution 3:**

A triangle has 6 exterior angles in all.

**Solution 4:**

Points in the interior of the ΔXYZ | Points on the ΔXYZ | Points in the exterior of the ΔXYZ |

Points M and N | Points L and O | Points T and K |

**Solution 5:**

- ΔABC, ΔABO, ΔACO, ΔBOC
- ΔOAC, ΔOAB, ΔOBC
- ΔAOB, ΔAOC, ΔABC

**Solution 6:**

**Solution 7:**

- ΔPQR, ΔPQT, ΔPRS, ΔPST
- ΔPST, ΔPSR, ΔPTR
- ΔPSQ, ΔPST
- ΔPTS, ΔPTQ
- ΔPQT, ΔPQR
- ΔPST, ΔPSR
- Points Y and Z
- Point U
- ∠PSQ and ∠PTR
- ΔPQS, ΔPQT, ΔPQR
- ΔPQR, ΔPSR, ΔPTR
- Points Y, E, U, Z, Q, R

### Exercise-75

**Solution 1:**

Fig.1: A right angled triangle.

Fig.2: An isosceles triangle.

Fig.3: An obtuse angled triangle.

Fig.4: An acute angled triangle.

Fig.5: An equilateral triangle.

Fig.6: An obtuse angled triangle.

**Solution 2:**

- ΔABC is an acute angled triangle.
- ΔRST is an isosceles triangle.
- ΔLMN is a right angled triangle.
- ΔSDO is an obtuse angled triangle.
- ΔRTO is an equilateral triangle.
- ΔDEF is a scalene triangle.