Question

Does anyone know this answer?? Choices- 333.50, 63.50, 153.50, 166.75

Answer 1

Answer:

153.50

Step-by-step explanation:

Sum of all interior angles of a triangle is 180°.

Option(1): 333.5 is much greater than 180(sum of all angles). 333.5 + 13.25 + angle P = 180, for all +ve values of angle P.

/_P = 180° - 13.25 - 333.5 , /_P is -ve from this which is impossible(for an angle in triangle)

This is incorrect.

Option(2): As it can observed, /_ R is much greater than 90°. It means, it should be greater than 63.50°.

This is incorrect.

Option(3): 153.50 is greater than 90°. Moreover, if /_ R is 153.5, let /_P be x, then,

=> 13.25 + 153.50 + x = 180°

=> x = 13.25. , which is +ve

So we can say /_P = 153.50

Option(4): if /_ R is 153.5, let /_P be x, then,

=> 13.25 + 166.75 + x = 180°

=> x = 0 , which is impossible(as we can see It's not 0)

Incorrect.

Answer 2

Answer: 153.50

180-13.25-13.25 = 153.50

The two acute angles are the same so look for the obtuse.