Respuesta :
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).
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