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In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the measure of each acute angle in the triangle

Sagot :

mumsy

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

The measure of each acute angles are 80 degrees and 10 degrees.

The triangle is a right angle triangle. This means one of its angles is 90 degrees.

The other 2 angles sum up to 90 degrees.

An acute angle is less than 90 degrees.

The measure of one acute angle is twice the sum of the measure of the other

acute angle and 30. Therefore,

first acute angle  = x

let the other angle  = y

y = 2(x + 30)

y = 2x + 60

2x - y = -60

x + y = 90

3x = 30

x = 30 /3

x = 10 degrees

y = 90 - 10

y = 80 degrees

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