Mathematics

Two angles are complementary. One angle is $$80\%$$ of the other angle. The two angles are


ANSWER

$$50^\circ,\, 40^\circ$$


SOLUTION
Let one angle be $$x$$

Other angle $$=\dfrac { 80 }{ 100 } \times x=0.8x$$

Now the angles are complementary

$$\therefore x+0.8x=9{ 0 }^{ \circ  }$$

$$ \Rightarrow 1.8x=9{ 0 }^{ \circ  }$$

$$ \Rightarrow x=\dfrac { 9{ 0 }^{ \circ  } }{ 1.8 } =5{ 0 }^{ \circ  }$$

So the angles are 

$$1\times 5{ 0 }^{ \circ  }={ 50 }^{ \circ  }$$

$$ 0.8\times 5{ 0 }^{ \circ  }=4{ 0 }^{ \circ  }$$
View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Single Correct Medium Published on 09th 09, 2020
Next Question
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 Subjective Medium
Find the equation of the plane through the points $$(2,2,-1)$$ and $$(3,4,2)$$ and parallel to the line whose direction ratios are $$7,0,6$$.

Asked in: Mathematics - Straight Lines


1 Verified Answer | Published on 17th 08, 2020

View Answer
Q2 Single Correct Medium
Find the complement of each of the following angles
$$63^{\circ}$$
  • A. $$54^{\circ}$$
  • B. $$117^{\circ}$$
  • C. None of these
  • D. $$27^{\circ}$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 23rd 09, 2020

View Answer
Q3 Single Correct Medium
The supplement of five-sixth of a right angle is:
  • A. $$5^{\circ}$$
  • B. $$95^{\circ}$$
  • C. $$126^{\circ}$$
  • D. $$105^{\circ}$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 Subjective Medium
In the given figure, lines $$AB$$ and $$CD$$ intersect at point $$O$$.
Name all the reflex angles formed and write the measures of each.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Subjective Medium
Classify the following angle as acute, obtuse, straight, right, zero and complete angle.
$$165^o$$.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer