The measure of angle TQR is 47 degrees and the measure of angle TRS is 133 degrees
In order to determine the measure of each angle, the value of x has to be determined first
The sum of angles on a straight line is 180 degrees
Thus : (3x + 5)° + (10x - 7)° = 180°
3x + 5 + 10x - 7 = 180
combine similar terms
3x + 10x = 180 - 5 + 7
add similar terms
13x = 182
divide both sides of the equation by 13
x = 14°
Substitute for x in (3x + 5)° and (10x - 7)°
(3x + 5)° = 3(14) + 5 = 47°
(10x - 7)° = 10(14) - 7 = 133°
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