2. find the measure of angle a. make sure to show all work.


 

Angle A measures 80°

Step-by-step explanation:

Here,  the measure of ∠A = (5x + 20)° (given)

From the given picture, the other 2 angles of the triangle measure,

(4x - 3)°  and (180 - 125)° = 55° respectively

[Since, opposite angles are equal and sum of two adjacent angles over the same straight-line is 180°]

Now, since the sum of 3 interior angles of any triangle equals 180°, so,

(5x + 20) + (4x - 3) + 55 = 180

⇒ 9x = 108

⇒ x = 12

So, (5x + 20)° =

                      = 80°

So, angle A measures 80°

4038

step-by-step explanation:

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