Question

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

Answer 1

<B+<D=180

3x+x+20=180

4x = 160

  X = 40

<A = 2(40) + 38 = 118

<C = 180 – 118

<C = 62

answer
<C = 62

Answer 2

Answer:

$m$

Step-by-step explanation:

we know that

In an inscribed quadrilateral opposite angles are supplementary

so

In this problem

$m$

$m$

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

$m$

$m$