Question

​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C? Enter your answer in the box. ° A quadrilateral inscribed in a circle. The vertices of quadrilateral lie on the edge of the circle and are labeled as A, B, C, and D. The interior angle A is labeled as left parenthesis x plus 15 right parenthesis degrees. The angle B is labeled as left parenthesis x plus 10 right parenthesis degrees. The angle D is labeled as left parenthesis x plus 24 right parenthesis degrees.

Answer 1

Answer:

Consider the property of cyclic quadrilaterals for which opposite angles are

supplementary, then:

m∠A + m∠C = 180∘

Since,

we are given that m∠A = (2x + 9)° and m∠C = (3x + 1)°,  

we can substitute to find the value of x:

2x + 9 + 3x + 1 = 180

5x + 10 = 180

5x = 170

therefore x = 34

Now, we can substitute in the above value of x to find m∠A: m∠A = (2x + 9)° = (2 × 34 + 9)° = 77°

Therefore, the m∠A = 77°

Answer 2

Answer:

92

Step-by-step explanation:

i just took the quiz