Question

Find the measure of each angle indicated.

top corner 36 degrees
left bottom corner 85 degrees
right bottom corner = ?

Question 2 options:

84


55


59


70

Answer 1

To find the measure of the right bottom corner angle in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given:
- Top corner angle = 36 degrees
- Left bottom corner angle = 85 degrees
- Right bottom corner angle = x (unknown)

The equation for the sum of the angles in the triangle is:

\[ 36 + 85 + x = 180 \]

Now, let's solve for x:

1. Combine the known angles:
\[ 121 + x = 180 \]

2. Subtract 121 from both sides:
\[ x = 180 - 121 \]
\[ x = 59 \]

So, the measure of the right bottom corner angle is **59 degrees**.

The answer to Question 2 is **59**.