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.
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°
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