Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 23° (8x + 3)°

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, $(8x + 3)+23 + 90=180$.

Step2: Simplify the left - hand side

Combine like terms: $8x+(3 + 23+90)=180$, which gives $8x + 116=180$.

Step3: Isolate the term with x

Subtract 116 from both sides: $8x=180 - 116$, so $8x = 64$.

Step4: Solve for x

Divide both sides by 8: $x=\frac{64}{8}=8$.

Answer:

$x = 8$