Question 1060907
Complementary angles add up to 90°.


x = larger angle
3x - 118 = smaller angle   {smaller angle is 118° less than 3 times larger angle}


x + 3x - 118 = 90   {added the two angles and set equal to 90°}
4x - 118 = 90   {combined like terms}
4x = 208   {added 118 to each side}
x = 52 {divided each side by 4}
3x - 118 = 38 {substituted 52, in for x, into 3x - 118}


smaller angle is 38°
larger angle is 52°
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