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15 votes
15 votes
CAN SOMEONE HELP ME I NEED TO KNOW IF IM DOING THIS RIGHT??

I named the angles

But I need help finding the value- for ex a. Is 90* degrees

And c=30*

So is the formula

B+c=a

But I already found C which is 30*

So I did
A+30=90

Which is a = 60*

I need help with

CAN SOMEONE HELP ME I NEED TO KNOW IF IM DOING THIS RIGHT?? I named the angles But-example-1
User Konrad Neuwirth
by
3.0k points

1 Answer

20 votes
20 votes

Answer:

  • a = 90°
  • b = 60°
  • c = 30°
  • d = 150°
  • e = 30°

Explanation:

You want the measures of the named angles in the given figure, given c=30°.

Angle relations

A right angle is 90°.

A linear pair totals 180°.

Vertical angles are congruent.

Angles that make up a right angle total 90°.

Application

Angle 'a' is marked as a right angle, so a = 90°.

Angle b is complementary to angle c, so is ...

b + c = 90°

b = 90° -c = 90° -30° = 60°

Angle c is given as 30°.

Angle d is part of a linear pair with angle c, so is ...

d = 180° -30° = 150°

Angle e is a vertical angle with respect to angle c, so is congruent to it.

e = 30°

User Thepoetdj
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2.5k points