# What is an angle if two adjacent angles add up to 100 degrees?

September 18, 2021 | education

| Adjacent angles are two corners in which one side is common, and the other two are a continuation of one another.

The sum of adjacent angles is 180 °.

Knowing these theoretical facts will help in solving the problem. For a visual representation, you can make a drawing.

Let us introduce the notation 1 – the required angle; 2 and 3 are corners adjacent to corner 1.

2 + 3 = 100о (according to the problem statement);

1 + 2 = 180 ° (as the sum of adjacent angles), 2 = 180 ° – 1;

1 + 3 = 180 ° (as the sum of adjacent angles), 3 = 180 ° – 1;

2 = 3 = 100 °: 2 = 50 °;

1 + 2 = 180 ° (as the sum of adjacent angles), 1 = 180 ° – 2;

1 = 180 ° – 50 ° = 130 °.

Answer: 130o.

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