Question

Solve this question with step by step explanation​

Answer 1

Answer:

x=16°

y=20°

Step-by-step explanation:

p||q , intersected by l

So the similar angles and opposite angles are equals.

Let's name the 1st point as = m

and the 2nd one as = n [left to right, left one is m & right one is n; draw it yourself ]

• Being opposite angle, angle pmn=4x°

So, the equation will be:

4x+6x+y= 180° [Straight angle]

=> 10x+y=180...(i)

• Being similar angle, angle qnl= angle pmn=4x° [p||q, intersected by l ]

So, the equation will be:

4x+x+5y=180°

=> 5x+5y=180 ...(ii)

From (i),

y=180–10x

Substitute this value for y in (ii),

5x+ 5(180–10x)=180

=> 5x+900–50x=180

=> –45x= –720

=> x= 16°

Again substitute this value for x in (i),

(10×16)+y=180

=> y= 20°