jogalloway30
jogalloway30 jogalloway30
  • 04-03-2018
  • Mathematics
contestada

Quadrilateral ABCD ​ is inscribed in a circle.

What is the measure of angle A?



Enter your answer in the box.

m∠A= ____°

Quadrilateral ABCD is inscribed in a circle What is the measure of angle A Enter your answer in the box mA class=

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eugeniacarvalhp5176g
eugeniacarvalhp5176g eugeniacarvalhp5176g
  • 04-03-2018
2(4x+5)+2(x+15)=360
8x+10+2x+30=360
10x=320
x=32

∠A=4×32+5=133º
Answer Link
AlonsoDehner AlonsoDehner
  • 19-02-2019

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

[tex]4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133[/tex]

Verify:

When x= 32, Angle C = 47

A+C = 133+47 = 180

Hence right answer

Answer Link

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