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3 years ago

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

Mathematics

1 answer:

IRISSAK [1]3 years ago

3 0

Answer:

First angle = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 2x+5 = 70 + 5 = 75°

Step-by-step 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

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