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o-na [289]
3 years ago
9

Given mZ1= x° and m Z2 = (x +50)".

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Given:

m∠1= x° and m∠2 = (x +50)°.

To find:

The value of x, m∠1 and m∠2.

Solution:

From the figure it is clear that, transversal side intersect the opposite sides which are parallel and form ∠1 and ∠2.

Sum of same sided interior angles is 180 degrees. So,

m\angle 1+m\angle 2=180^\circ

x^\circ+(x+50)^\circ=180^\circ

2x^\circ+50^\circ=180^\circ

2x^\circ=180^\circ-50^\circ

2x^\circ=130^\circ

Divide both sides by 2.

x^\circ=65^\circ

x=65

Now,

m\angle 1=65^\circ

m\angle 2=(65+50)^\circ=115^\circ

Therefore, the correct option is C.

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