Question

only type numbers. no letters or symbols. * in the figure shown, determine the measure of the larger angle. (5x + 20)° (3x - 8)°

Explanation:

Step1: Set up equation using angle - sum property

Since the two angles are supplementary (sum to 180°), we have the equation $(5x + 20)+(3x - 8)=180$.
Combining like - terms: $5x+3x+20 - 8=180$, which simplifies to $8x + 12=180$.

Step2: Solve for x

Subtract 12 from both sides: $8x=180 - 12$, so $8x=168$.
Divide both sides by 8: $x=\frac{168}{8}=21$.

Step3: Find the measure of each angle

For the first angle: $5x + 20=5\times21+20=105 + 20=125$.
For the second angle: $3x - 8=3\times21-8=63 - 8=55$.

Answer:

125