Mathematics

An angle is $\dfrac {2}{3}$ of its supplementary. What is its magnitude?

SOLUTION
$\Rightarrow$  Let one angle be $x$.
$\Rightarrow$  Then, other angle will be $\dfrac{2}{3}x$
According to the question,
$x+\dfrac{2}{3}x=180^o$
$\dfrac{3x+2x}{3}=180^o$
$\dfrac{5x}{3}=180^o$
$5x=540^o$
$\therefore$   $x=108^o$
$\therefore$  $\dfrac 23 x=\ \dfrac{2}{3} \times 108^o=72^o$
$\therefore$  Magnitudes are $108^o$ and $72^o$

You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Subjective Hard
If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q2 Subjective Medium
Write the complement angle of:
$1/6$ of $90^{o}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
Find the supplementary of $37^028'$ and $52^0 33'$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
______ angles have common side and vertex but they don't overlap.
• A. Vertical
• B. Corresponding
• C. Alternate

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
Classify the angles whose magnitudes are given below:
$328^{o}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020