contestada

Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.

Circle O has diameter A D and radii B O and C O. Angle A O B is adjacent to angle B O C. Angle B O C is adjacent to angle C O D.

If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)°, what is the value of x?

10.0
21.5
58.5
121.5

Respuesta :

Lanuel

If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)° in this pizza, the value of x is equal to: B. 21.5.

What is a supplementary angle?

In Mathematics, a supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle can be calculated by using this formula:

X + Y = 180

Where:

X and Y are measure of the angles subtended.

Generally speaking, we know that an entire pizza is circular in shape with an angular measure of 360°. This ultimately implies that, one-half of an entire pizza is equal to 180°, which means m∠AOB and m∠BOD are supplementary angles.

Substituting the given parameters into the formula, we have;

m∠AOB + m∠BOD = 180

3x − 6 + 5x + 14 = 180

8x + 8 = 180

8x = 180 - 8

8x = 172

x = 172/8

x = 21.5.

Read more on supplementary angle here: brainly.com/question/28565307

#SPJ1

Otras preguntas