Measurement of one angle of acomplement ary angle is 10° more than another angle thenwhate will be the measurement off the boat the angles?
Answers
If two angles are complementary and one angle is 10 degrees greater than the other, then the smaller angle is 40 degrees
Solution:
Given
that two angles are complementary
Let the smaller complementary angle be "a"
Let the larger complementary angle be "b"
Two Angles are Complementary when they add up to 90 degrees
So we can say,
smaller complementary angle + larger complementary angle = 90
a + b = 90 --- eqn 1
Also given that one angle is 10 degree greater than other
b = a + 10 --- eqn 2
Substitute eqn 2 in eqn 1
a + a + 10 = 90
2a = 80
a = 40
From eqn 2,
b = 40 + 10
b = 50
Thus the smaller angle is 40 degrees
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If two angles are complementary and one angle is 10 degrees greater than the other, then the smaller angle is 40 degrees
Solution:
Given that two angles are complementary
Let the smaller complementary angle be "a"
Let the larger complementary angle be "b"
Two Angles are Complementary when they add up to 90 degrees
So we can say,
smaller complementary angle + larger complementary angle = 90
a + b = 90 --- eqn 1
Also given that one angle is 10 degree greater than other
b = a + 10 --- eqn 2
Substitute eqn 2 in eqn 1
a + a + 10 = 90
2a = 80
a = 40
From eqn 2,
b = 40 + 10
b = 50
Thus the smaller angle is 40 degrees