Question

Solve for X, 132 is an exterior angle. Show work please!

Answer 1

Answer:

105/9

Step-by-step explanation:

180 - 132 = 48 degrees

180 - 48 - 45

= 180 - 93

= 87 degrees

<2 = 180 - 87

= 93 degrees

=> 9x - 12 = 93

=> 9x = 105

=> x = 105/9

Answer 2

Answer:

x = 12°

m∠2 = 96°

Find the missing inside angle for right triangle:

180° - 132°

48°

Find the missing angle for left triangle:

90° - 48°

42°

As it is an isosceles triangle, the angles will be similar.

Thus solve:

9x - 12 + 42° + 42° = 180°

9x + 72° = 180°

9x = 180° - 72°

9x = 108°

x = 108°/9

x = 12°

Therefore m∠2 :

m∠2 = 9x - 12

m∠2 = 9(12) - 12

m∠2 = 96°