46
The ratio of the measures of the supplementary angle to the complementary
angle of the given angle is 13 : 4. Then what is the measure of that angle?
(3) 65° (4) 85°
) 50°
(1) 40°
5
Answers
Answer:
Supplement of angle a equals 180 - a since the sum of an angle and its supplement is 180 (a + 180 - a = 180). Likewise, the complement of an angle is 90 - a. The difference between the supplement and complement is 90: 180 - a - (90 - a) = 180 - a - 90 + a = 90. Note the difference between the two numbers in the ratio is 9 which when multiplied by 10 is 90. So following suit with 13 and 4, 13(10) = 130 and 4(10) = 40 are the supplement and complement respectively. Hence the angle sought after must add to 180 with 130 and also add to 90 with 40; it is 50 degrees.
it is justified to look at a ratio as a difference since it represents division and another way of expressing division is subtraction.
Answer:
50
Step-by-step explanation:
I don't know explanation sorry.really sorry for that