Advertisements
Advertisements
Question
ΔABC and ΔPQR are shown in the adjoining figures. The measure of ∠C is:
Options
140°
80°
60°
40°
MCQ
Advertisements
Solution
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°)
shaalaa.com
Is there an error in this question or solution?
