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
How many pairs of adjacent angles are formed when two lines intersect in a point?
Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.
Two lines AB and CD intersect at O. If `∠`AOC + `∠`COB + `∠`BOD = 270°, find the
measures of `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA.
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
In the given figure, the value of x is ______.
In the given figure, which of the following statements must be true?
(i) a + b = d + c
(ii) a + c + e = 180°
(iii) b + f = c + e
Give two examples of parallel lines you can see in your environment.
Look at the picture given below. Decide whether the lines given in picture is parallel or perpendicular to each other and write the answer in the box.
Which symbolic notation correctly represents the statement 'Line m is parallel to Line n?'
