Question

Please solve this question

Answer 1

Answer:

In the given figure, if TU ||SR and TR || SV, then find a and b.​

The complete question is,

If in the given figure ,TU II SR and TR II SV , ∠UVS = 25° , ext. ∠VUT = a, ∠UTQ = 90°,  ∠SPQ= 50° and ∠PQT = b, then find ∠a and ∠b.

Consider the attached figure while going through the following steps.

Given,

∠UVS = 25°

∠UTQ = 90°

from figure, it's clear that,

∠ U + ∠ T + ∠ V = 180°

∠ U + 90° + 25° = 180°

∠ U + 115° = 180°

∠ U = 180° - 115°

∴ ∠ U = 65°

Since ∠ U  and ∠ a are vertically opposite angles, we have,

∠ U +  ∠ a = 180°

65°  +  ∠ a = 180°

∠ a = 180° - 65°

∴ ∠ a = 115°

In Δ PRQ,

from figure it's clear that, ∠ R = 90°

50° + ∠ Q + 90° = 180°

∠ b + 140° = 180°

∠ b = 180° - 140°

∴ ∠ b = 40°

hope it helps !!!!

pls thank!!!

Answer 2

Hope it helps u ❣️❣️

Mark as the brainlist answer ❣️❣️❣️