Advertisements
Advertisements
Question
In the given figure, if \[\frac{y}{x} = 5\] and \[\frac{z}{x} = 4\] then the value of x isc
Options
8°
18°
12°
15°
Solution
In the given figure, we havex°,y° and z° forming a linear pair, therefore these must be supplementary.
That is,
x + y +z = 180° (i)
Also,
`y/x = 5`
y = 5x (ii)
And
`z/x = 4`
z = 4x (iii)
Substituting (ii) and (iii) in (i), we get:
x + 5x + 4x = 180°
10x = 180°
`x = (180°)/10`
x = 18°
APPEARS IN
RELATED QUESTIONS
In the below fig, p is a transversal to lines m and n,`∠`2 = 120° and `a∠`5 = 60°. Prove that m || n.
Which pair of lines in the below fig, is parallel? Given reasons.
In the below fig, arms BA and BC of `∠`ABC are respectively parallel to arms ED and EF of
`∠`DEF. Prove that `∠`ABC = ∠DEF.
Fill in the blank in the following to make the statement true:
If a transversal intersects a pair of lines in such a way that a pair of alternate angles
are equal, then the lines are _______
Fill in the blank :
If a transversal intersects a pair of lines in such a way that the sum of interior angles
on the same side of transversal is 180°, then the lines are _______.
In the given figure, if l1 || l2, what is x + y in terms of w and z?
In the given figure, if l1 || l2, what is the value of y?
In the given figure, if lines l and m are parallel, then the value of x is
Two lines l and m are perpendicular to the same line n. Are l and m perpendicular to each other? Give reason for your answer.
A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.
