Question

Consider the following figure.

(Note that the figure is not drawn to scale.)
I
11°
K
H
50°
84°
J

Answer 1

Explanation:

What is the measure of angle IJK?

To find the measure of angle IJK, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can start by finding the measure of angle KJH, which is 180 - 84 - 50 = 46 degrees.

Next, we can use the fact that angles IJH and IJK are vertical angles (opposite angles formed by the intersection of two lines), so they have the same measure. We know that angle IJH has a measure of 84 degrees, so angle IJK also has a measure of 84 degrees.

Therefore, the measure of angle IJK is 84 degrees.