In order to find all the angles of a parallelogram, we will compose and solve an equation. Let’s start by looking at what is known from the condition. One of the angles of the parallelogram is 30 ° larger than the other.
There are two kinds of angles in a parallelogram:
1. opposing and they have the property – are equal to each other;
2. adjacent to one side – their sum is 180 °.
In the condition, we are talking about the corners adjacent to one side.
Let’s denote by x one of the angles, and the second we will denote as (x + 30).
x + (x + 30) = 180;
2x = 180 – 30;
2x = 150;
x = 75 ° one pair of angles, 75 + 30 = 105 ° a second pair of angles.
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