Answer:
<em>m∠j = 32 degrees</em>
<em>m∠g = 78 degrees</em>
Step-by-step explanation:
The triangles shown in the image are similar.
<em>This means:</em>
- The shape of the two triangles are identical.
- The corresponding angle measures of the two triangles are identical.
- The size of each side is proportionally identical to the corresponding sides of the other triangle.
The angles of triangle HIJ correspond with the angles of triangle GEF, so:
m∠j = m∠f
m∠g = m∠h
m∠i = m∠e
We are given values for m∠h and m∠f, so substitute those in the equations:
m∠j = 32 degrees
m∠g = 78 degrees
m∠i = m∠e
Angle j is equal to 32 degrees and angle g is equal to 78 degrees.
