Using supplementary angles, it is found that the measure of angle QRT is of 47º.
What is the missing information?
For this problem, we have a straight line segment QS divided by an inclined segment RT. The measures of the angles are given as follows:
What are supplementary angles?
When two angles have measures adding to 180º, they are called supplementary.
In this problem, due to the inclined segment, angles QRT and TSR are supplementary, and we can solve for x as follows:
3x + 5 + 10x - 7 = 180
13x = 182
x = 182/13
x = 14.
Hence the measure of angle QRT is found as follows:
m<QRT = 3(14) + 5 = 47º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
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