Question

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

Answer 1

Answer:

$m<C=62\°$

Step-by-step explanation:

we know that

In an inscribed quadrilateral opposite angles are supplementary

so

In this problem

$m<D+m<B=180\°$

$m<C+m<A=180\°$

step 1

Find the value of x

$m<D+m<B=180\°$

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

$m<A=(2x+38)\°=2(40\°)+38\°=118\°$

step 3

Find the measure of angle C

$m<C+m<A=180\°$

substitute the values and solve for m<C

$m<C+118\°=180\°$

$m<C=180\°-118\°=62\°$

Answer 2

Answer:

62 i took the test

Step-by-step explanation: