0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

The adjoining figure, shows two straight lines AB and CD intersecting at P. If $$\angle BPC = 4x - 5^\circ$$ and $$\angle APD = 3x + 15^\circ,$$ find the value of $$x$$.

Solution
Verified by Toppr

By referring given figure,
The value of $$x$$ is calculated as,
$$3x + 15^\circ = 4x - 5^\circ$$ (By vertically opposite angles)
$$3x - 4x = -5^\circ - 15^\circ$$
$$-x = -20^\circ$$
$$x = 20^\circ$$

Was this answer helpful?
1
Similar Questions
Q1
The adjoining figure, shows two straight lines AB and CD intersecting at P. If BPC=4x5 and APD=3x+15; find the value of APD. [2 Marks]
View Solution
Q2

The figure given alongside shows two straight lines AB and CD intersecting each other at point P (3, 4). Find the equations of AB and CD.

View Solution
Q3
In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O. Find the value of x. Also, find āˆ AOD, āˆ COE and āˆ AOE.
View Solution
Q4
In the adjoining figure, three coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x, y, z and t.
View Solution
Q5
In the following figure, two straight lines AB and CD are intersecting each other at the point O. The value of ∠x – ∠y is _____.


View Solution