Question

ΔABC and ΔPQR are shown in the adjoining figures. The measure of ∠C is:

पर्याय

• 140°

• 80°

• 60°

• 40°

Answer 1

40°

Explanation:

`(AB)/(QR) = 3.8/7.6`

= `1/2`

`(AC)/(PR) = (3sqrt3)/(6sqrt3)`

= `1/2`

`(BC)/(PQ) = 6/12`

= `1/2`

Since all ratios are equal, the triangles are similar.

∴ Corresponding angles are equal.

∴ ∠C = ∠P   .....(∵ ΔABC ∼ΔPQR)

∠C = (180° − 80° − 60°)

∠C = 40° (In ΔPQR ∠P + 80° + 60° = 180°)