Question

Part A

Find the value of x in the following figure:



Part B
Find the measure of exterior angle ∠ACD.

Answer 1

140 degrees is the answer

Answer 2

The value of x in the figure is 90 and the measure of angle ACD is 145 degrees.

The figure in the image is a right triangle.

Note that, the sum of the angles of a triangle equals 180 degrees.

Also, the sum of angles on a straight line equals 180 degrees.

First, we determine the value of x:

Simply add the interior angles of the triangle and equate them to 180 degrees.

x + 55 + 35 = 180

x + 90 = 180

x = 180 - 90

x = 90

Now for the exterior angle ACD, since the sum of angles on a straight line equals 180 degrees.

35 + angle ACD = 180

angle ACD = 180 - 35

angle ACD = 145 degrees

Therefore, the measure of angle ACD is 145 degrees.