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

90°, 64° and 26°

Step-by-step 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°

90°, 64° and 26°

Step-by-step 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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