In the adjoining figure l is parallel to line m. What is the value of (x + 2y)?
315°
The correct answer is Option 2 i.e. 315°.
From the given figure,
⇒ x + 105° = 180°
⇒ x = 180° - 105° = 75°
⇒ y + 60° = 180°
⇒ y = 180° - 60° = 120°
Then, the value of (x + 2y)
⇒ 75° + 2 × 120° = 75° + 240° = 315°
Important Questions from Lines and Angles
If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the largest angle.
A. 36°
B. 96°
C. 84°
D. 60°
If (6y + 70)° and (3y + 47)° are supplementary angles, find the value of y.
A. 12
B. 15
C. 7
D. 10
An angle is 60° more than one-fifth of its complement. Find the smaller angle in degrees.
A. 65°
B. 35°
C. 25°
D. 45°
If the angles of a triangle are in the ratio of 2 : 3 : 5, then find the ratio of the greatest angle to the smallest angle.
A. 7 : 2
B. 5 : 2
C. 5 : 3
D. 3 : 5
A straight angle is equal to?
A. 90°
B. 180°
C. 270°
D. 360°
