Mathematics

# An angle is equal to two-third of its supplements. Find its measure.

##### SOLUTION
Let x and y be the two angles

They are supplement means $x+y=180$$^{\circ} Now one angle is two third of another which means x = 2y/3 putting in to equation \dfrac{2y}{3}+y=180^{\circ} \Rightarrow \dfrac{2y+3y}{3}=180^{\circ} \Rightarrow 5y=180\times 3 \Rightarrow y=\dfrac{180\times 3}{5} \Rightarrow y=108 y = 108 x=\dfrac {2y}3=\dfrac{2\cdot108}{3}=72 \therefore x=72 and y=108. You're just one step away Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here! Subjective Medium Published on 09th 09, 2020 Questions 120418 Subjects 10 Chapters 88 Enrolled Students 86 #### Realted Questions Q1 One Word Medium Two lines AB and CD intersect at O. If \angle AOC+\angle COB+ \angle BOD = 270^{\circ}, find the measures of \angle AOC,\angle COB,\angle BOD and \angle DOA. Asked in: Mathematics - Lines and Angles 1 Verified Answer | Published on 09th 09, 2020 Q2 Single Correct Medium If the complement of an angle is 79^o, then the angle will be of • A. 1^o • B. 79^o • C. 101^o • D. 11^o Asked in: Mathematics - Lines and Angles 1 Verified Answer | Published on 09th 09, 2020 Q3 Single Correct Medium A line AB is parallel to the line CD. This is symbolically written as: • A. \displaystyle \overleftrightarrow{AB} \displaystyle \neq$$\displaystyle \overleftrightarrow{CD}$
• B. $\displaystyle \overleftrightarrow{AB}$ =$\displaystyle \overleftrightarrow{CD}$
• C. $\displaystyle \overleftrightarrow{AB}$ $\displaystyle \perp$ $\displaystyle \overleftrightarrow{CD}$
• D. $\displaystyle \overleftrightarrow{AB}$ $\displaystyle \parallel$$\displaystyle \overleftrightarrow{CD}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Single Correct Medium
If $j$ and $k$ are parallel lines, mark the correct statements.
• A. $a=e$
• B. $b=c$
• C. $d=180-c$
• D. $b+d=c+e$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q5 TRUE/FALSE Medium
State whether the following statement are true or false :
'An angle Whose measure is greater than that of right angle is obtuse'.
• A. True
• B. False

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020