179k views
4 votes
Find the variables in the kite.

Find the variables in the kite.-example-1
User Thomasdao
by
8.9k points

1 Answer

5 votes

The variables x and y in the kite are 50 and 16.25 respectively.

What is the value of the variables in the kite?

There was 4 interior angles in a kite. The sum of the interior angles is 360° and it has one pair of opposite angles that are obtuse angles and are equal.

So,

(3x + 5)° = (4x - 45)°

3x + 5 = 4x - 45

3x - 4x = -45 - 5

-x = -50

x = -50/-1

x = 50

Also,

y° = (5y - 65)°

y = 5y - 65

y - 5y = -65

-4y = -65

y = -65/-4

y = 16.26

User Abhirup Das
by
8.3k points