Question

1A) Quad ABCD is inscribed in the circle. Find x. *

1B) Using your answer from above, what is angle A? *
103
77
90
25

Answer 1

∠A = 77°

Explanation:

Given:

Inscribe quadrilateral

Opposite angles

∠A = (2x + 9)°

∠B = (3x + 1)°

Find:

Value of ∠A

Computation:

We know that in Inscribe quadrilateral sum of Opposite angles are 180

So,

(2x + 9)° + (3x + 1)° = 180°

5x + 10 = 180

x = 34°

So,

∠A = (2x + 9)°

∠A = 2(34) + 9°

∠A = 77°