Rock3422
contestada

Quadrilateral ABCD is inscribed in circle O. What is ​ m∠B ​ ? Enter your answer in the box. ° A quadrilateral is inscribed in a circle O. The vertices of the 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 2 x minus 7 right parenthesis. The angle B is labeled as left parenthesis 2 x plus 3 right parenthesis. The angle C is labeled as left parenthesis x plus 4 right parenthesis.

Quadrilateral ABCD is inscribed in circle O What is mB Enter your answer in the box A quadrilateral is inscribed in a circle O The vertices of the quadrilateral class=

Respuesta :

calculista

Answer:

[tex]m<B=125\°[/tex]

Step-by-step explanation:

Step 1

Find the value of x

we know that

In an inscribed quadrilateral the opposites angles are supplementary

so

In this problem

[tex]m<A+m<C=180\°[/tex]

substitute the values and solve for x

[tex](2x-7)+(x+4)=180\°[/tex]

[tex]3x-3=180\°[/tex]

[tex]3x=183\°[/tex]

[tex]x=183\°/3=61\°[/tex]

step 2

Find the measure of angle B

[tex]m<B=(2x+3)[/tex]

substitute the value of x

[tex]m<B=(2(61)+3)\°=125\°[/tex]

legodragons21

Question: Quadrilateral ABCD is inscribed in circle O. What is ​ m∠B ​ ? Enter your answer in the box. ° A quadrilateral is inscribed in a circle O. The vertices of the 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 2 x minus 7 right parenthesis. The angle B is labeled as left parenthesis 2 x plus 3 right parenthesis. The angle C is labeled as left parenthesis x plus 4 right parenthesis.

Answer:

Ver imagen legodragons21

Otras preguntas