Question

if the angle of a quadrilateral are (x - 20)° , (x + 20)° , (x - 15)° , (x + 15)°, find x and the angles of the quadrilateral
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Answer 1

Answer:

• The first angle of a quadrilateral is 70°
• The second angle of a quadrilateral is 110°
• The third angle of a quadrilateral is 75°
• And the fourth angle of a quadrilateral is 105°

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360°.

Given: The angle of a quadrilateral = (x - 20)° , (x + 20)° , (x - 15)° , (x + 15)°

(x - 20)° + (x + 20)° + (x - 15)° + (x + 15)° = 360°

x - 20 + x + 20 + x - 15 + x + 15 = 360°

Arrange similar terms

x + x + x + x - 20 + 20 - 15 + 15 = 360°

4x = 360°

x = 360/4

x = 90°

So, first angle of a quadrilateral = (90 - 20)= 70°

Second angle of a quadrilateral = (90 + 20)= 110°

Third angle of a quadrilateral = (90 - 15)= 75°

And fourth angle of a quadrilateral = (90 + 15)= 105°