Find the measure of an angle if its measure is 26° more than three times its complement. x = the angle
90 - x = the complement {complementary angles add up to 90°} x = 3(90 - x) + 26 {the angle is equal to 26 more than three times its complement} x = 270 - 3x + 26 {used distributive property} x = -3x + 296 {combined like terms} 4x = 296 {added 3x to each side} x = 74 {divided each side by 4} The angle is 74° - Algebra House
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