29.5k views
4 votes
In △ JKL, m∠J=67 ° and m∠ L=90 °. Determine the measure of the exterior angle to angle K.

1 Answer

5 votes

Final answer:

The measure of the exterior angle to angle K is 23 degrees.

Step-by-step explanation:

Given that angle J = 67° and angle L = 90°, the sum of angles in a triangle is always 180 degrees. Therefore, angle K is given by:

Angle K = 180 - (angle J + angle L)

Angle K = 180 - (67 + 90) = 180 - 157 = 23°

So, the measure of the exterior angle to angle K is 23 degrees.

User Jacques De Hooge
by
6.5k points