contestada

Quadrilateral ABCD ​ is inscribed in a circle. What is the measure of angle A? Enter your answer in the box. m∠A= ° A quadrilateral inscribed in a circle. The vertices of the quadrilateral lie on the edge of the circle and are labeled as A, B, C, D. The interior angle A is labeled as left parenthesis 3 x plus 6 right parenthesis degrees. The angle C is labeled as left parenthesis x plus 2 right parenthesis degrees.

Respuesta :

Since the quadrilateral is inscribed in the circle, the two angles add to a 180 degrees angle. 
We deduce the following equation:
[tex](3x+6)+(x+2)=180[/tex]
Solve for x like  this:
[tex](3x+x)+(6+2)=180\\4x=180-8\\4x=172\\x=43.[/tex]

Now we deduce the measure of A:
[tex]A=3x+6=3\times(43)+6=135[/tex]
rainbowglitch

Answer:

135

Step-by-step explanation:

took the test

Otras preguntas