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 = _____
1 answer:
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°
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