Mathematics

An angle is equal to one-third of its supplement. Find its measure.

SOLUTION
Let angle be $\dfrac{x}{3}$, then its supplementary will be x
$x + \dfrac{x}{3} = \dfrac{4}{3} x = 180$
$x = 135^o$
$\dfrac{135}{3} = 45^o$ is measure of angle.

You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 87

Realted Questions

Q1 Single Correct Medium
Find the value of $x$ and $y$.
• A. $45^{\circ}, 60^{\circ}$
• B. $45^{\circ}, 45^{\circ}$
• C. $60^{\circ}, 60^{\circ}$
• D. $60^{\circ}, 45^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Find the value of unknown 'x' in the following triangles.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
Suppose two adjacent angles are supplementary. show that one of them is obtuse angle, then the other angle must be acute.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Single Correct Medium
In the figure, AO=OD and OB=OC. Then
• A. $\displaystyle AB=CD$
• B. $\displaystyle \angle ABC=\angle BCD$
• C. $\displaystyle \angle BAD=\angle ADC$
• D. All of these

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
Read the following two statements which are taken as axioms:
(i) If two lines intersect each other, then the vertically opposite angles are not equal.
(ii) If a ray stands on a line, then the sum of two adjacent angles so formed is equal to $180^0$.