Respuesta :

whitneytr12

Answer:

A = 61°

B = 72°

C = 47°

Step-by-step explanation:

Well, first of all, we can see that:

[tex]61^{\circ}+47^{\circ}+B^{\circ}=180^{\circ}[/tex]

So, we can find angle B.

[tex]B=180^{\circ}-47^{\circ}-61^{\circ}[/tex]

[tex]B=72^{\circ}[/tex]

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:

[tex]B+A+C=180^{\circ}[/tex]

[tex]A=180^{\circ}-47^{\circ}-72^{\circ}[/tex]

[tex]A=61^{\circ}[/tex]

I hope it helps you!

The measure of each angle ∠A, ∠B, and ∠C of the triangle. are 61, 72, and 47 degrees.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Triangle ABC is formed by two parallel lines and two other intersecting lines.

The angle ∠A and angle 61 are equal because they are corresponding angles. Then angle ∠A will be

∠A = 61

The angle ∠C and angle 47 are equal because they are Alternate angles. Then angle ∠C will be

∠C = 47

We know that the sum of all the interior angles of a triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180

61 + ∠B + 47  = 180

On simplifying, we have

∠B = 72

Thus, the measure of each angle A, B, and of the triangle. are 61, 72, and 47 degrees.

More about the angle link is given below.

https://brainly.com/question/15767203

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