Question

Triangle ABC is formed by two parallel lines and two other intersecting lines. Find the measure of each angle A, B, and of the triangle.​

Answer 1

Answer:

A = 61°

B = 72°

C = 47°

Step-by-step explanation:

Well, first of all, we can see that:

$61^{\circ}+47^{\circ}+B^{\circ}=180^{\circ}$

So, we can find angle B.

$B=180^{\circ}-47^{\circ}-61^{\circ}$

$B=72^{\circ}$

Now, we can see to that angle C is just 47°

Finally, we know that the sum of all angles in a triangle is 180°, so we have:

$B+A+C=180^{\circ}$

$A=180^{\circ}-47^{\circ}-72^{\circ}$

$A=61^{\circ}$

I hope it helps you!