Find the value of x in the given statement. the diagram is not to scale. given:   ∠srt  ≅  ∠str, m∠srt = 28 and m∠stu = 2x question 6 options: (a) 30 (b) 76 (c) 14

Angle STR = 28 (since this angle is equal to SRT = 28)
Angle STU = 2x

The two angles STR and STU form a straight angle. They are supplementary. This means they add to 180 degrees
(angle STR) + (angle STU) = 180
28 + 2x = 180 substitution property
2x + 28 = 180
2x + 28 - 28 = 180 - 28 ... subtract 28 from both sides
2x = 152
2x/2 = 152/2 ... divide both sides by 2
x = 76

(b) 76

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Main idea on left, details on right