By applying the supplementary angle theorem, the value of x is equal to: C. 11.2
Given the following data:
What is a supplementary angle?
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:
Q + R = 180
Where:
Q and R are measure of the angles subtended.
Generally speaking, we know that an entire pizza is circular in shape and as such would measure 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;
Q + R = 180
6x − 5 + 9x + 17 = 180
15x + 12 = 180
15x = 180 - 12
15x = 168
x = 168/15
x = 11.2.
Read more on supplementary angle here: https://brainly.com/question/28565307
#SPJ1
