485,736 views
24 votes
24 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
User Aman Kumar Gupta
by
2.4k points

2 Answers

20 votes
20 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°

User Umamaheswaran
by
3.4k points
11 votes
11 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°

User Nafsaka
by
2.7k points