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Find the value of a. Then find the angle measures of the polygon.

a =
26
(2aº caº
a
Sum of angle
measures: 360°

Find the value of a. Then find the angle measures of the polygon. a = 26 (2aº caº a-example-1
User Sepehrom
by
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1 Answer

3 votes

Answer:

In the given quadrilateral, two angles measure 60° and other two angles measure 120°.

Explanation:

As we know sum of all interior angles of a polygon with 'n' sides is,

Sum of interior angles = (n - 2) × 180°

= (4 - 2) × 180° [for a polygon with n = 4]

= 360°

a + a + 2a + 2a = 360°

6a = 360°

x = 60°

Measure of angles = a° = 60°

And angles having measure = 2a° = 2(60)°

= 120°

Therefore, in the given quadrilateral, two angles measure 60° and other two angles measure 120°.

User Mlowton
by
3.6k points