asked 75.2k views
4 votes
Megan needs to find all the missing angle measurements of this kite. What is the

measurement of this particular one?

Megan needs to find all the missing angle measurements of this kite. What is the measurement-example-1

2 Answers

9 votes

Answer:

missing angle = 82°

Explanation:

( n - 2 ) * 180° .......where n is the number of sides

( 4 - 2 ) * 180

2 * 180°

360°

total interior sides of 4 sides shape is 360 degrees

Therefore:

x + 90 + 94 + 94 = 360

x + 278 = 360

x = 360 - 278

x = 82°

answered
User Deepak Prakash
by
8.0k points
7 votes

Answer:

82°

Explanation:

The sum of the interior angles of a kite = 360°

It has one pair of opposite angles (obtuse = more than 90°) that are equal

Let the missing angle = x

⇒ 90 + (2 x 94) + x = 360

⇒ 278 + x = 360

⇒ x = 360 - 278

⇒ x = 82°

answered
User Evans
by
7.7k points

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