Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
(5x+20)°
114°
(3x+14)°
answer attempt 1 out of 2
x =

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \((5x + 20) + 114 + (3x + 14) = 180\).

Step2: Combine like terms

Simplify the left - hand side: \(5x+3x + 20+114 + 14=8x + 148\). So, \(8x+148 = 180\).

Step3: Solve for x

Subtract 148 from both sides: \(8x=180 - 148=32\). Then divide by 8: \(x=\frac{32}{8}=4\).

Answer:

\(x = 4\)