Question

from a point on a line another line is to be drawn such that the angle on one side is 50 digree more than the angle on the other side.How much is the smaller angle

Answer 1

Answer:65°

Step-by-step explanation:

Angles on a straight line=180

2x+50=180

2x=130

x=65

65+50=115° 115°+65°=180° check

Answer 2

The smaller angle is 65°.

Step-by-step explanation:

According to the given information, from a point on one line, another line is drawn. Now, at the point of intersection of the two intersecting lines, an angle is formed between both the lines. This angle according to the given problem is 50 degrees more than the angle on the other side. Now, we need to find the angle between these two intersecting lines, which is present on the other side of the just drawn line.

Let the angle between these two intersecting lines, which is present on the other side of the just drawn line be x.

Then, according to the given information, the angle on the other side of the line is 50° + x.

Now, we know that, both the angles are present on the straight line and thus, the sum of both the angles will be equal to 180 degrees.

Thus, we have,

x + ( 50° + x ) = 180

Or, x + x + 50° = 180

Or, 2x = 130

Or, x = 65°

Thus, the angle between these two intersecting lines, which is present on the other side of the just drawn line is 65°.

Thus, the smaller angle is 65°.

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