Question

if the measure of angle 6 = 75 and the measure of angle 7=3x, what is the value of x?

Explanation:

Step1: Assume angles 6 and 7 are supplementary (linear pair)

Since angles 6 and 7 form a linear pair, their sum is \( 180^\circ \). So, \( 75 + 3x = 180 \).

Step2: Solve for x

Subtract 75 from both sides: \( 3x = 180 - 75 = 105 \). Then divide by 3: \( x = \frac{105}{3} = 35 \).

Answer:

35