Question

Question / OT 8What is the value of p?140"90-OAnswer hereSUBMIT

Answer 1

From the problem, we have a triangle and we need to find the measurements of the angles marked in blue.

Note that angles adjacent to each other in a straight line have a sum of 180 degrees.

That will be :

`\begin{gathered} \theta+140=180 \\ \theta=180-140 \\ \theta=40 \end{gathered}`

The other angle is :

`\begin{gathered} \theta+90=180 \\ \theta=180-90 \\ \theta=90 \end{gathered}`

Now we have the two angles in a triangle, 40 and 90 degrees, and the sum of interior angles in a triangle is always 180 degrees.

That will be :

`\begin{gathered} p+40+90=180 \\ p+130=180 \\ p=180-130 \\ p=50 \end{gathered}`

ANSWER :

p = 50 degrees