Analyze The Diagram Below And Answer The Question That Follows (15x+10) (8x+1) What is the value of x A 5 B 8 C 10 D 15

Question

asked May 19, 2021 195k views

2 Answers

Howli · Answer 1 · 2021-05-22T12:51:44+0000

Given:

The measure of angle EFG is
$m\angle EFG=(8x+1)^(\circ)$

The measure of arc GE is
$m\widehat{(GE})=(15+10)^(\circ)$

We need to determine the value of x.

Value of x:

The value of x can be determined using the inscribed angle theorem.

Thus, we have;

$\angle EFG=(1)/(2)(\widehat{GE})$

Substituting the values, we have,

8x+1=(1)/(2)(15x+10)

2(8x+1)=1(15x+10)

16x+2=15x+10

x+2=10

x=8

Hence, the value of x is 8.

Therefore, Option B is the correct answer.