Question

In a right triangle one acute angle measures 48 more than 2 times the other. If the sum of the measure of the two acute angles must equal 90 find the measure is the acute angles

A)14,76 B)16,74 C)15,78. D)13,77

Answer 1

A

Explanation:

let one acute angle be x then the other is 2x + 48

Their sum is 90 , hence

x + 2x + 48 = 90

3x + 48 = 90 ( subtract 48 from both sides )

3x = 42 ( divide both sides by 3 )

x = 14

the 2 acute angles are x = 14° and (2 × 14 ) + 48 = 28 + 48 = 76°