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Need help find the measures​

Need help find the measures​-example-1

2 Answers

6 votes

Answer:

a = 65

b = 25

c = 25

d = 75

hope it's helpful

User Jtrim
by
8.4k points
2 votes

Answer:

  • a = 65°
  • b = 25°
  • c = 25°
  • d = 75°

Explanation:

The sum of angles that make up a linear angle is 180°, so we have ...

60 + a + 55 = 180

a = 65 . . . . . . . . . . . . . . subtract 115

The acute angles in a right triangle are complementary, so we have ...

b = 90 -65 = 25

Vertical angles are congruent, so ...

c = b = 25

___

Angle d is the complement of the one marked 15, so its measure is ...

d = 90 -15 = 75

The angle measures are ...

a = 65°

b = 25°

c = 25°

d = 75°

User Gulfam Khan
by
8.0k points

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