Question

In the diagram, TRV ≅ VRW. What is the measure of SRT? mSRT = ------ degrees

Answer 1

90 degrees is the correct answer

Answer 2

Answer-

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

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,

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

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

$\Rightarrow 2\times m\angle TRV=180$

$\Rightarrow m\angle TRV=90$

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°