Question

The figure below mlj cake what's 37 + mklj equals 69

Answer 1

Option D is correct.

Angle JKH = 16°

Step-by-step explanation

To answer this more effectively, I'll redraw the triangle here

We are given that

Angle LJK = 37° (Note that the angle given lies on the point in the middle of tha angle's name, in this case, this angle lies on J)

Angle KLJ = 69°

We are then asked to solve for Angle JKH

Firstly, we need to note that the sum of angles in a triangle is 180°

So, we need to first find the Angle LKJ in order to now use that to find Angle JKH

Angle LJK + Angle KLJ + Angle LKJ = 180°

37° + 69° + Angle LKJ = 180°

106° + Angle LKJ = 180°

Angle LKJ = 180° - 106°

Angle LKJ = 74°

Then from the figure, we can see that

Angle LKJ + Angle JKH = 90° (The straight line KH forms a right angle this way)

Angle LKJ + Angle JKH = 90°

74° + Angle JKH = 90°

Angle JKH = 90° - 74°

Angle JKH = 16°

Hope this Helps!!!