Question

In the diagram, TRV ≅ VRW.

What is the measure of SRT? mSRT = ------ degrees

Answer 1

90 degrees is the correct answer

Answer 2

`\boxed{\boxed{m\angle SRT=90}}`

Solution-

Given TRV ≅ VRW

∠TRV And ∠VRW are supplementary angles.

i.e

`m\angle TRV+m\angle VRW=180`

As they are congruent, so their measurements are also same.

i.e

m∠TRV = m∠VRW

Putting this,

`\Rightarrow m\angle TRV+m\angle VRW=180`

`\Rightarrow m\angle TRV+m\angle TRV=180`

`\Rightarrow 2* m\angle TRV=180`

`\Rightarrow m\angle TRV=90`

And ∠TRV and ∠SRT are also supplementary angles.

So,

`\Rightarrow m\angle TRV+m\angle SRT=180`

`\Rightarrow 90+m\angle SRT=180`

`\Rightarrow m\angle SRT=180-90`

`\Rightarrow m\angle SRT=90`

Therefore, m∠SRT is 90°