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3 years ago

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.

Mathematics

2 answers:

Marizza181 [45]3 years ago

8 0

<B+<D=180

3x+x+20=180

4x = 160

X = 40

<A = 2(40) + 38 = 118

<C = 180 – 118

<C = 62

answer
<C = 62

tatiyna3 years ago

8 0

Answer:

$m$

Step-by-step explanation:

we know that

In an inscribed quadrilateral opposite angles are supplementary

In this problem

$m$

step 1

Find the value of x

$m$

substitute the values and solve for x

$(x+20)\°+(3x)\°=180\°$

$4x=180\°-20\°$

$x=160\°/4=40\°$

step 2

Find the measure of angle A

$m$

step 3

Find the measure of angle C

$m$

substitute the values and solve for m<C

$m$

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​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.