One of the corners of the parallelogram is more than the second by 30. Find the largest angle.

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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