Find the value of x. The diagram is not to scale. 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 can set up an equation using the given angle measurements:

m∠RST = 8x - 60
m∠STU = 10x

Since RS¯¯¯¯¯¯¯ and ST¯¯¯¯¯¯¯ are congruent, we know the sum of their angles is 180 degrees.

Therefore, we can set up the equation:

m∠RST + m∠STU + m∠TUS = 180

Substituting the given angle measurements, we have:

(8x - 60) + (10x) + m∠TUS = 180

Combining like terms:

18x - 60 + m∠TUS = 180

Since the diagram is not to scale, we cannot determine the measure of m∠TUS. Therefore, we cannot solve for x. The value of x cannot be determined from the given information.