The measure of angle T is 135° ⇒ C
Step-by-step explanation:
The two adjacent angle are supplementary then:
- Their outer rays formed a straight line
- The sum of their measures is 180°
∵ The measure of angle T is 2x + 39
∵ The measure of angle X is 45
∵ Angles T and X are supplementary, adjacent angles
- That means the sum of their measures is 180°
∴ m∠X + m∠T = 180°
- Substitute the measure of each angle in the equation
∵ 45 + (2x + 39) = 180
- Add the like terms in the left hand side
∴ (45 + 39) + 2x = 180
∴ 84 + 2x = 180
- Subtract 84 from both sides
∴ 2x = 96
- Divide both sides by 2
∴ x = 48
Substitute x by 48 in the measure of angle T to find its measure
∵ m∠T = 2x + 39
∴ m∠T = 2(48) + 39
∴ m∠T = 96 + 39
∴ m∠T = 135°
The measure of angle T is 135°
Learn more:
You can learn more about the supplementary angles in brainly.com/question/11175936
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