Triangle ABC is a right triangle. The ratio of the measures of the two angles that are not right angles is 2 : 7. Find the measure of the larger of these two angles.
Choices:
a. 10
b. 20
c. 70
d. 80
2006-12-14 11:52:42 · 4 answers · asked by Anonymous in Education & Reference ➔ Homework Help
c. 70
180 - 90 (right angle) = 7x + 2x
10=x
larger angle = 7x-= 70
smaller angle = 2x = 20
2006-12-14 12:00:49 · answer #1 · answered by Lacey 3 · 0⤊ 0⤋
C. 70
The three interior angles measure 180 total.
Minus 90 for right angle leaves 90 degrees
(two acute angles in a right triangle are complementary).
So the acute angles measure 20 and 70,
and the larger angle is 70, or C.
2006-12-14 11:55:32 · answer #2 · answered by emilynghiem 5 · 0⤊ 0⤋
Sum of angles of triangle is 180
One angle is 90
Ratio of other two is 7:2
So the other 90 degrees is divided into 70 and 20 degrees
The larger is 70. Answer C.
2006-12-14 12:00:05 · answer #3 · answered by ignoramus 7 · 0⤊ 0⤋
The answer is C because the sum of the 2 angles is 90 degrees. Then you add the 2 numbers in the ratio and divide the sum to your total
2006-12-14 11:58:22 · answer #4 · answered by doggysc38 2 · 0⤊ 0⤋