callmeyesterday
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Mary is designing a new stained-glass window for the local church. She uses the quadrilateral below as the shape for one of the panes in the window. Find the value of x in the quadrilateral so Mary knows the measures of the shape she must cut the glass. Show your reasoning.

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Answer :

fieryanswererft

Answer:

x = 80°

Explanation:

A quadrilateral has sum of total 360° interior angles.

Solve:

30° + 2x + 90° + x = 360°

120° + 3x = 360°

3x = 360° - 120°

3x = 240°

x = 240°/3

x = 80°

semsee45

Answer:

x = 80°

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

⇒ x + 30° + 2x + 90° = 360°

Collect and combine like terms:

⇒ 3x + 120° = 360°

Subtract 120 from both sides:

⇒ 3x = 240°

Divide both sides by 3:

⇒ x = 80°

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