Question

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

Answer 1

Answer:

$m\angle A=115\degree$

Step-by-step 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:

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

$m\angle A=115\degree$

Answer 2

Answer:

The measure of angle A is 115°

Step-by-step 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°