Advertisements
Advertisements
Question
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
Options
30°
34°
36°
none of these
Advertisements
Solution
Let us draw the following figure, showing POQ as a straight line.
Thus, ∠POR and ∠QORform a linear pair, therefore their sum must be supplementary. That is;
∠POR + ∠QOR = 180°
It is given that
∠POR = 3x
and ∠QOR = 2x + 10°
On substituting these two values above, we get:
3x +2x + 10° = 180°
5x +10° = 180°
5x = 180° -10°
5x = 170°
`x = (170°)/5`
x = 34°
APPEARS IN
RELATED QUESTIONS
Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°
In the below fig, rays AB and CD intersect at O
Determine x when y =40
In the below fig, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF,
∠DOE and ∠BOF.
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
Two straight line AB and CD intersect one another at the point O. If ∠AOC + ∠COB + ∠BOD = 274°, then ∠AOD =
In the given figure, the value of y is
Two parallel lines meet each other at some point.
Two lines in a plane which do not meet at a point anywhere are called ______ lines.
Which symbolic notation correctly represents the statement 'Line m is parallel to Line n?'
