Find the value of x. Given: RS¯¯¯¯¯¯¯≅ST¯¯¯¯¯¯¯, m∠RST =8x−60, m∠STU=10x (1 point) Responses 14° 14degree 22° 22degree 10° 10degree 30°

Answer 1

To find the value of x, we need to set up an equation using the given angle measures. According to the triangle congruence, we know that m∠RST = m∠STU.

Given: m∠RST = 8x - 60 and m∠STU = 10x

Since the measures of corresponding angles are equal in congruent triangles, we can set up the equation:

8x - 60 = 10x

Simplifying the equation:

-60 = 2x

Dividing both sides of the equation by 2:

-30 = x

So, the value of x is -30.

However, since we're dealing with angle measures, we can't have a negative value for x. Therefore, there is no solution in this case.