Question

The sum of the angle measures of any triangle is 180°. Find the angle measures of a triangle if the second angle measures 10° less than twice the first, and the third angle measures 25° more than the second.

Answer 1

Answer:

First angle =35 degrees

Second angle=60 degrees

Third angle =85 degrees

Explanation:

Let the first angle be x.

Second angle is 2x-10.

Third angle is (2x-10)+25.

The sum of angles in a triangle is 180.

x+2x-10+2x-10+25=180

5x+5=180

5(x+1)=180

x+1=36

X=35

Answer 2

$\bf{\red{\underline{\bf{Given}}}}$

The sum of the angle measures of any triangle is 180°. Find the angle measures of a triangle if the second angle measures 10° less than twice the first, and the third angle measures 25° more than the second.

$\bf{\red{\underline{\bf{ToFind}}}}$

• Angles of triangle

$\bf{\red{\underline{\bf{Solution}}}}$

➠ Let the first angle be x °

Then,

➠ Second angle = ( 2x - 10)°

➠ Third angle = (2x - 10) + 25 = (2x + 15)

Now,

We know that,

• ➤ Sum of angles of triangle = 180°

So,

➭ x + (2x - 10) + (2x + 15) = 180

➭ 5x + 5 = 180

➭ 5x = 180 - 5

➭ x = 175/5

➭ x = 35

Therefore,

➦ First angle = x = 35°

➦ Second angle = (2x - 10) = 2×35 - 10 = 70-10 = 60°

➦ Third angle = (2x + 15) = 2×35 + 15 = 70 + 15 = 85°