Question

In an inscribed quadrilateral, angles A & B are opposite angles and C & D are opposite angles. The measure of angle C = the measure of angle D. the measure of angle A = 9x + 17 and the measure of angle B = 8x - 24 therefore the measure of angle A = _____
Measure angle B = _____

Measure angle C = _____

Measure angle D = _____

Answer 1

Answer:

<A = 116°

<B = 64°

<C = <D = 90°

Step-by-step explanation:

In an inscribed quadrilateral, The sum of opposite angles is equal to 180°

If <A and <B are and also <C and <D opposite angles then:

<A+<B = 180° and

<C+<D = 180°

If <C = <D, then

<C+<C = 180°

2<C = 180°

<C = 180°/2

<C = 90° and <D = 90°

If <A = 9x+17 and <B = 8x-24, then;

9x+17+8x-24 = 180

17x-7 = 180

17x = 187

x = 187/17

x = 11°

<A = 9(11)+17

<A = 99+17

<A = 116°

<B = 180°-116°

<B = 64°