Given: angle 1 + angle2 = 180 degrees angle3 is 70 degrees less than angle 4 Find angle3 and angle4.
July 23, 2021 | education
| 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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