Page 183 - Maths Skills - 7

The Triangle and Its Properties 181

HOTS

1. An angle of a triangle is equal to the sum of the other two angles. Also, one of the angles is one-third of the
largest angle, find the angles of the triangle.

2. Find the value of the unknown angles x and y marked in the given fig. 1, given AB || CD.

3. In the adjacent fig. 3,

(i) If ∠ A = 60°, find the measure of ABD, ACB and CBD.

(ii) If the measure of ∠ A is changed to 30° and ∠ C is changed to 90°, will the triangle change in shape
or size?

4. In the given fig. 2, SP || RQ. Find the measure of the length of PQ.

Fig. 1 Fig. 2 Fig. 3

Word Stock
Complement Supplement Rotation Interior

Exterior Intersect Parallel Consecutive
Transversal Segment Reflex Vertex
Hypotenuse Median Altitude Quadrilateral
Inequality Centroid Orthocentre