n a triangle one angle is of 70° and the other two angles are such that one is lesser by 20° then the other. what are the measure of these two angles

70 + x + (x-20) = 180

Now you can find x, and figure the other two angles.

45,65

To find the measures of the other two angles in the triangle, we can use the fact that the sum of the interior angles in a triangle is always 180 degrees.

Let's denote the measure of one of the other angles as x. According to the given information, the third angle is 20 degrees less than x. Therefore, the measure of the third angle is (x - 20).

Using the fact that the sum of the angles in a triangle is 180 degrees, we can write the equation:

70 + x + (x - 20) = 180

Simplifying the equation, we have:

70 + 2x - 20 = 180

Combine like terms:

2x + 50 = 180

Subtract 50 from both sides:

2x = 180 - 50

2x = 130

Divide both sides by 2:

x = 130 / 2

x = 65

So, one of the angles is 65 degrees. Using this, we can find the measure of the third angle:

x - 20 = 65 - 20 = 45

Therefore, the two angles, in addition to the given 70 degrees, are 65 degrees and 45 degrees.