Question

anyone help if you guys help me the next question i will give u more points the screenshot is attached below

Answer 1

Answer:

69°

Step-by-step explanation:

To obtain the value of w, we must first obtain the value y as shown in the attached photo.

The value of y can be obtained as follow:

y + (w + 37) = 180 (sum of angle on a straight line)

y + w + 37 = 180

Make y the subject by rearranging

y = 180 – 37 – w

y = 143 – w

Finally, we shall determine the value of w as follow:

w + (w – 32) + y = 180 (sum of angles in a triangle)

y = 143 – w

w + (w – 32) + (143 – w) = 180

w + w – 32 + 143 – w = 180

Rearrange

w + w – w – 32 + 143 = 180

w + 111 = 180

Collect like terms

w = 180 – 111

w = 69°

Therefore, the value of w is 69°