5. Solve for the interior angles of the pentagon by finding the exterior angles' supplementary angles. Add them all up and subtract it from the total of interior angles of a pentagon (540 degrees); you'll get the x degree's supplementary angle (interior). Subtract it from 180 degrees to find the value of x.
6. Solve again for the interior angles of the quadrilateral by finding the exterior angles' supplementary angles. Add them all up and subtract it from the total of interior angles of a pentagon (360 degrees); you'll get the 3x degree's supplementary angle (interior). Subtract it from 180 degrees and divide it by 3 to find the value of x.
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Verified answer
Answer:
5. x= 91
6. x= 21
7. Triangle (3 sides)
8. Quadrilateral (2 diagonals)
Step-by-step explanation:
5. Solve for the interior angles of the pentagon by finding the exterior angles' supplementary angles. Add them all up and subtract it from the total of interior angles of a pentagon (540 degrees); you'll get the x degree's supplementary angle (interior). Subtract it from 180 degrees to find the value of x.
6. Solve again for the interior angles of the quadrilateral by finding the exterior angles' supplementary angles. Add them all up and subtract it from the total of interior angles of a pentagon (360 degrees); you'll get the 3x degree's supplementary angle (interior). Subtract it from 180 degrees and divide it by 3 to find the value of x.