snowlovelydayM
2020-10-26
Answered

The second angle in a triangle is twice as large as the first. The third angle
is three-fourths as large as the first. Find the angle measures and draw a
possible picture.

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Benedict

Answered 2020-10-27
Author has **108** answers

Let x be the measure of the first angle.

If the second angle is twice as large as the first, then the second angle must have a measure of 2x.

If the third angle is three-fourths as large as the first, then the third angle must have a measure of

For all triangles, the sum of the three angle measures must equal 180.

The sum of the three angles measures of x, 2x, and

Since the sum must be equal to 180, then:

The three angles measures are then:

First angle:

Second angle:

Third angle:

To draw a possible picture, draw a triangle using a protractor and ruler with angle measures of

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