Question

The floor of a gazebo is in the shape of a heptagon. Four of the interior angles measure 135 degrees. The other interior angles have equal measures.

Find their measures

Answer 1

x=120

Explanation:

1. 900=135(4)+3x

2. 135(4)=540

3. 900=540+3x

4. subtract 540 900-540=360

5. 360=3x

6. divide by 3

360÷3=120

x=120

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Answer 2

In geometry, you must know that any heptagon, whether regular or not,the sum of all its interior angles is 900°. Having 7 sides, there are also 7 interior angles. Let's write down the algebraic equation using x as the unknown angle of the other interior angles.

900 = 135(4) + 3x
Solving for x,
x = 120°