Advertisements
Advertisements
प्रश्न
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
उत्तर
∵ Lines are parallel
∠a = ∠1 and ∠c = ∠2 .........(alternate angles)
But ∠1 + 115° = 180° .........(linear pair)
∴ ∠1 = 180°− 115° = 65°
Similarly ∠2 + 120° = 180°
∴ ∠2 = 180°− 120° = 60°
∴ ∠a = ∠1 = 65°, ∠c = ∠2 = 60°
But a + c + c = 180° ............(angles on a line)
⇒ 65° + b + 60° = 180°
⇒ b + 125° = 180°
⇒ b = 180°− 125° = 55°
Hence a = 65°, b = 55°, c =60°
APPEARS IN
संबंधित प्रश्न
In the given figure, if ray BA || ray DE, ∠C = 50° and ∠D = 100°. Find the measure of ∠ABC.
(Hint: Draw a line passing through point C and parallel to line AB.)
In ΔABC, ∠A = 76°, ∠B = 48°, ∴ C = ______.
Line AB || line CD || line EF and line QP is their transversal. If y : z = 3 : 7 then find the measure of ∠x.
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:
Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:
Find x in the following case:
Find x in the following case:
Find x in the following case:
Find x in the following case:
