If two angles are complementary and one is 10° less than three times the other, then find the angles
Answers
Step-by-step explanation:
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Answer
4.0/5
13
Step-by-step explanation:
Given :Two angles are complementary, means their sum is 90 degree.Let the two angles be a and b.
a + b = 90 degree ......(1)
It is given in the question that one angle is ten less than three times the other angle, say
b = 10 less than 3* a( 3 times 'a' means 3 multiplied by a)
b= 3*a - 10 ......(2)
Now substitute the value of 'b'in (1)
a + b = 90
a + 3*a- 10 = 90 ( coefficient of a is 1 ,so 1*a +3a= 4*a)
4*a = 90 + 10
4*a =100
a = 100/4
a = 25
One angle 'a' is 40 degrees
N ow to find the value of other angle 'b', put in the value of 'a' in the equation (2)
b= 3*a - 10
b= 3*25 - 10
b= 75- 10
b= 65 degrees