Advertisements
Advertisements
प्रश्न
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
पर्याय
30°
34°
36°
none of these
Advertisements
उत्तर
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
संबंधित प्रश्न
If one of the four angles formed by two intersecting lines is a right angle, then show that
each of the four angles is a right angle.
In the below fig, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF,
∠DOE and ∠BOF.
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
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
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
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.
Mention two real life situations where we use parallel lines
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?'
If the shortest distance between two straight lines in a plane is observed to change, what must be true about the lines?
