Given: angle 1 + angle2 = 180 degrees angle3 is 70 degrees less than angle 4 Find angle3 and angle4.

We take the sum of all the corners of the rectangle equal to 360 °.

In this case, since the sum of the 1st and 2nd angles is 180 °, the sum of the 3rd and 4th angles will be equal to:

360 – 180 = 180 °.

We draw up an equation in which the angle 3 is written as the unknown value of x.

Since we know that angle 3 is 70 ° less than angle 4, then the value of the fourth angle will be: x + 70 °.

The sum of the two angles is:

x + x + 70 = 180.

2 * x = 180 – 70.

2 * x = 110.

x = 110/2 = 55 ° (angle 3).

x + 70 = 55 + 70 = 125 ° (angle 4).

Answer: 55 ° and 125 °.



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