Question

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​

Answer 1

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;

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

Substituting the values, we have,

   $8x+1=\frac{1}{2}(15x+10)$

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

  $16x+2=15x+10$

     $x+2=10$

           $x=8$

Hence, the value of x is 8.

Therefore, Option B is the correct answer.