Question

The corresponding arms of the two angles in the below figure are parallel. If angle SQU =55° then find​

Answer 1

Answer:

Given that:

Sides of the two angles are parallel so AB∥DGE and line BGC∥EF

i)If AB∥DGE and BC is transversal line, then

∠DGC=∠ABC=70

∘

(Corresponding angle)

ii)If line BGC∥EF and DE is transversal line, then

∠DEF=∠DGC=70

∘

(Corresponding angle)

Answer 2

Answer:

QVT = 125°

TVS = 55°

Step-by-step explanation:

TP is parallel to UQ.

∴QVT and SQU are allied angles.

∴QVT + SQU = 180° (Sum of allied angles is 180°)

QVT = 180° - SQU

QVT = 180° - 55°

QVT = 125°

You can see that TVS and QVT are supplementary adjacent angles.

∴TVS + QVT = 180°

TVS = 180 - QVT

TVS = 180° - 125°

TVS = 55°