Find the measure of each marked angle. A ray rises from left to right from the center of a horizontal line forming two angles. The top left angle measures (9x plus 9) degrees.The top right angle measures (6x plus 6) degrees.
left parenthesis 9 x plus 9 right parenthesis degrees(9x+9)°
left parenthesis 6 x plus 6 right parenthesis degrees(6x+6)°
The larger angle measures
The smaller angle measures
The sum of the two angles is 180° because together they form a straight line.
(9x + 9)° + (6x + 6)° = 180°
9x + 9 + 6x + 6 = 180 Combine like terms on the left .
15x + 15 = 180 Subtract 15 from both sides.
15x = 165 Divide both sides by 15 .
x = 11
The larger angle measures (9x + 9)° = (9(11) + 9)° = (99 + 9)° = 108°
The smaller angle measures (6x + 6)° = (6(11) + 6)° = (66 + 6)° = 72°