Answer:
Part A) x = 5
Part B) B = 113 degrees, C = 95 degrees. E = 95 degrees
Step-by-step explanation:
<u>Part A:</u>
We know that the sum of all angles in a pentagon are 540 degrees.
We already have two angles: 113 and 124 which add up to 237.
Make an equation out of all the information.
237 + 98 + 3x + 19x - x = 540
3x + 19x - x = 105
21x = 105
x = 5
<u>Part B:</u>
Substitute 5 for each x
measure B: 98 + 3x = 98 + 3*5 = 98 + 15 = 113
measure C: 100 - x = 100 - 5 = 95
measure E: 19x = 19* 5 = 95
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