125k views
9 votes
Please help with these!!

Please help with these!!-example-1
Please help with these!!-example-1
Please help with these!!-example-2

1 Answer

9 votes

Explanation:

Question 8: Ramiro is correct because the triangles are similar by AA (the measure of angle C in triangle ABC is 180-62-39=79 degrees). Julie is wrong because you would need at least 1 pair of corresponding congruent sides to prove the triangles congruent (angles alone are not sufficient)

The question with the angle diagram:

Since angles A and B are supplementary (since they form a linear pair), their measures add to 180 degrees. Hence, the measure of angle B is 180-140=40 degrees.

The measure of angle E can be found by the same logic, and has a measure of 50 degrees.

Since the sum of the measures of the angles of a triangle is 180 degrees, the measure of angle C is 180-40-50=90 degrees.

Hence, since angles C and D are supplementary, angle D has a measure of 90 degrees.

User Xab
by
4.7k points