Question

. In a triangle, the second angle measures twice the first, and the third

angle measures 5 more than the second. If the sum of the angles
measures is 180°, find the measure of each angle.


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Answer 1

First angle = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 2x+5 = 70 + 5 = 75°

Explanation:

Given :

The second angle measures twice the first, and the third angle measures 5 more than the second.

Sum of angles = 180°

Solution :

Let the first angle be x

According to the given question :

Second angles = 2x

Third angle = 2x + 5

we know that Sum of angles = 180°

Solving x value :

x + 2x + (2x+5) = 180°

5x + 5 = 180

5x = 180 - 5

5x = 175

x = 175/5

x = 35

Finding the measure of each angle :

First angle = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 2x+5 = 70 + 5 = 75