Question

Which of the following statements about the image below is true?

Answer 1

Answer

The statment true about the image be

The measure of ∠TRU is 72° .

Reason

As shown in the image

∠QRU = 90°

∠ TRQ = 18°

Now ∠QRU be written as the sum of the ∠ TRQ and  ∠TRU .

Thus it becomes  

∠QRU =  ∠ TRQ + ∠TRU

put the value ∠QRU and ∠ TRQ

we get

90° = 18 ° + ∠TRU

Solving the above

∠TRU = 90° - 18°

∠TRU = 72 °

Therefore the measure of ∠TRU is 72 °.

Hence proved