Question

What is m∠A ? Enter your answer in the box.

Answer 1

The measure of angle A is 115°

Explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

∠C+∠A+∠B=180°

substitute values and solve for x

x°+(3x-35)°+(x-35)°=180°

5x°=180°+70°

x=250°/5=50°

Find the measure of angle A

∠A=(3x-35)°

substitute the value of x

∠A=(3(50)-35)=115°

Answer 2

`m\angle A=115\degree`

Explanation:

The sum of angles in a triangle is 180 degrees.

`\implies (x-35)\degree+x+(3x-35)\degree=180\degree`

`\implies 5x-70\degree=180\degree`

`\implies 5x=180+70`

`\implies 5x=250`

Divide both sides by 5.

`\implies x=50`

We substitute the value of angle A to obtain:

`m\angle A=3(50)-35`

`m\angle A=115\degree`