Advertisements
Advertisements
Question
In the given figure, BAC is a straight line.
Find:
(i) x
(ii) ∠AOB
(iii) ∠BOC
Advertisements
Solution
∵ ∠AOB and ∠COB are linear pairs
∴ ∠AOB + ∠COB = 180°
⇒ x + 25° + 3x + 15° = 180°
⇒ 4x + 40° = 180°
⇒ 4x = 180°− 40° = 140°
(i) ⇒ x =`(140°)/4=35°`
Hence, x = 35°
(ii) ∠AOB = x + 25° = 35° + 25° = 60°
(iii) ∠BOC = 3x + 15° = 3 × 35° + 15°
= 105° + 15° = 120°
APPEARS IN
RELATED QUESTIONS
Fill in the blank so as to make the following statement true:
A ray stands on a line, then the sum of the two adjacent angles so formed is ______
If a wheel has six spokes equally spaced, then find the measure of the angle between two adjacent spokes.
In the given figure, if CP || DQ, then the measure of x is
State, true or false:
Is 40° the complement of 60°?
How many lines can be drawn through three
(a) collinear points?
(b) non-collinear points?
In the given figure, find ∠PQR.
In the given figure. p° = q° = r°, find each.
Write the complement of a°
Write the supplement of 100°
In the given figure, lines PQ, MN, and RS intersect at O. If x : y = 1 : 2 and z = 90°, find ∠ROM and ∠POR.
