Question

The measure of one angle of a right triangle is 38∘ more than the measure of the smallest angle. Find the measures of all three angles

Answer 1

90°, 64° and 26°

Explanation:

Let x be the smallest angle of the triangle.

90° + ( x + 38 )° + x = 180° [ Angle Sum Property ]

90 + x + 38 + x = 180°

128 + 2x = 180°

2x = 180 - 128

2x = 52

x = 52 / 2

x = 26

Therefore, the angles are:

• 90°
• 64° [ x + 38 ]
• 26°

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Answer 2

90°, 64° and 26°

Explanation:

The 3 angles in a triangle sum to 180°

let x be the smallest angle then the other angle is x + 38, thus

x + x + 38 + 90 = 180, that is

2x + 128 = 180 ( subtract 128 from both sides )

2x = 52 ( divide both sides by 2 )

x = 26

The other angle = 26 + 38 = 64

The 3 angles are 90°, 64° and 26°