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
In the below fig, lines PQ and RS intersect each other at point O. If ∠POR: ∠ROQ − 5 : 7,
find all the angles.
In the below fig, lines �1 and �2 intersect at O, forming angles as shown in the figure. If x = 45, Find the values of x, y, z and u.
In the below fig, rays AB and CD intersect at O
Determine x when y =40
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 =
Consider the following statements:
When two straight lines intersect:
(i) adjacent angles are complementary
(ii) adjacent angles are supplementary
(iii) opposite angles are equal
(iv) opposite angles are supplementary
Of these statements
Give two examples of perpendicular 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.
Two lines in a plane which do not meet at a point anywhere are called ______ lines.
Which phrase correctly describes the distance between two parallel lines?
