Advertisements
Advertisements
प्रश्न
In the adjoining figure, line p || line l || line q. Find ∠x with the help of the measures given in the figure.
उत्तर
Let us mark the points A, L and B on p; C, M and D on l; P, N and Q on q.
Since, AB || CD and LM is a transversal intersecting AB at L and CD at M, then
m∠ LMD = m∠ ALM (Alternate interior angles)
⇒ m∠ LMD = 40°
Since, CD || PQ and MN is a transversal intersecting CD at M and PQ at N, then
m∠ DMN = m∠ PNM (Alternate interior angles)
⇒ m∠ DMN = 30°
Now, m∠ LMD + m∠ DMN = 40° + 30°
⇒ m∠ LMN = 70°
⇒ x = 70°
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.)
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 adjoining figure. line p || line q. line l || line m. Find measures of ∠a, ∠b, and ∠c, using the measures of given angles. Justify your answers.
Which pair of the dotted line, segments, in the following figure, are parallel. Give reason:
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
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:
