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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.

PLEASE Answer Will Give Thanks Profile Too And 5star Rating For Sure And BRAINLIEST If I Have The Option This Is Worth A Lot Of My Points So Please Do A Good Jo class=

Sagot :

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°

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°