Find the measure of angle B if seven times the complement of angle B exceeds twice the supplement of angle B by 220 degrees.
Please show steps!
2007-05-10 08:08:39 · 3 answers · asked by thunderbomb90 3 in Science & Mathematics ➔ Mathematics
Let's call the unknown angle B. Then its supplement is 180-B and its complement is 90-B. We will use those expressions to translate your sentence into an equation:
7(90-B) = 2(180-B) + 220
630 - 7B = 360 - 2B + 220
-5B = -50
B = 10
2007-05-10 08:14:03 · answer #1 · answered by Kathleen K 7 · 0⤊ 0⤋
complement of B = 90 - B
supplement of B = 180 - B
7.(90 - B) = 2(180 - B) + 220
630 - 7 B = 360 - 2B + 220
5B = 50
B = 10°
Check
7 x 80 = 560
2 x 170 + 220 = 340 + 220 = 560
2007-05-10 23:55:26 · answer #2 · answered by Como 7 · 0⤊ 0⤋
the supplement of an angle is (180) and the compliment of an angle is (90). so where it says supplement and compliment in the problem just plug in the numbers
2016-05-19 23:14:30 · answer #3 · answered by ? 3 · 0⤊ 0⤋