Question

What is the value of p?

Answer 1

Answer:

35 degrees

Step-by-step explanation:

Ok so that angle that has the 125 degree is adjacent to an angle inside the triangle. These adjacent angles are actually supplementary because they are formed by a straight-edge. So the angle inside adjacent to the 125 degree angle is 180-125=55 degrees.

Same logic applies to angle adjacent to the 90 degree angle. The angle adjacent to the 90 degree angle is also supplementary to the 90 degree angle. So 180-90=90 degrees for the other inside angle next to the 90 degree angle.

So the figure formed here is a triangle.  The angles in this triangle should add up to be 180 degrees.  So we have the equation 90+55+p=180.

Let's solve this by first simplifying the 90+55 part!

145+p=180

Subtract 145 on both sides:

p=180-145

Simplify.

p= 35 degrees

Answer 2

Answer:

D. 35 degrees.

Step-by-step explanation:

125 = p + 90 (by the external Angle of a Triangle theorem).

p = 125 - 90

p = 35 degrees (answer).