Question

A triangle has one right angle (90*)in it. If the measure of one of the remaining angles is twice the measure of the other angle, how many degrees are in each of the two angles?

Answer 1

Answer:

90, 30, 60 degrees

Step-by-step explanation:

1st angle = 90

2nd angle = x

3rd angle = 2x that is twice the other one

Remember sum of angles in a triangle = 180 degree

Therefore,

90 + x + 2x = 180

90 + 3x = 180

Subtract 90 from both sides

90-90 + 3x = 180-90

3x = 90

Divide both sides by 3

3x/3 = 90/3

x = 30 degrees

Therefore

1st angle = 90 degree

2nd = 30 degrees

3rd = 2x = 2× 30 = 60 degrees

90, 30, 60 degrees

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