Quadrilateral ABCD is inscribed in a circle.

Mathematics

2 answers:

jeka943 years ago

7 0

2(4x+5)+2(x+15)=360
8x+10+2x+30=360
10x=320
x=32

∠A=4×32+5=133º

Anastaziya [24]3 years ago

5 0

Answer:

133

Step-by-step explanation:

Given is a cyclic quadrilateral ABCD.

We know that in a cyclic quadrilateral, opposite angles are supplementary.

A+C =180

Given that A = 4x+5 and C = x+15

Add these and equate to 180

$4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133$

Verify:

When x= 32, Angle C = 47

A+C = 133+47 = 180

Hence right answer

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Answer:

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