Six sided figure

Asked by maham237 @ in Mathematics viewed by 333 People

A hexagon (a six-sided figure) has four angles that have
measures 152°, 108°, 140°, and 172º respectively. The
remaining two angles have the same angle measure.
Explain how to find the two missing angle measures.

Answered by maham237 @


Answer:

74

Step-by-step explanation:

A polygon's angles add up to (n-2)*180, where n is the total number of sides, and a hexagon has 6 sides, which means its angles add up to 720 degrees.

Therefore, we can set up an equation where the missing angles, marked as x, and the rest of the angles add up to 720:

x+x+152+108+140+172=720

2x+572=720

2x=148

x=74

Therefore, the angles of the 2 missing angles is 74


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