521,998 views
6 votes
6 votes
Hello please help help

Hello please help help-example-1
User Apanatshka
by
2.9k points

1 Answer

15 votes
15 votes

9514 1404 393

Answer:

48°

Explanation:

ΔACB is isosceles, so angles A and B have the same measure. The measure of angle C in that triangle is ...

∠C = 180° -2(69°) = 42°

Angle C in ΔCDE has the same measure. Angle D is the complement of that:

∠D = 90° -42° = 48°

_____

The relations we used are ...

  • the sum of angles in a triangle is 180°
  • base angles of an isosceles triangle are congruent
  • vertical angles are congruent
  • acute angles in a right triangle are complementary
User Chris Arriola
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.