# Calculate the degree measures of the acute angles of a right triangle if you know that some

September 26, 2021 | education

| **Calculate the degree measures of the acute angles of a right triangle if you know that some of them are 26 degrees smaller than the other.**

To solve this example, we will use two conditional variables “X” and “Y”, through which we denote the degree values of the larger and smaller acute angles of a rectangular triangle, respectively.

Based on the example data, we will compose the following equations:

1) X + Y = 90;

2) X – Y = 26.

Solving the system of two equations, we get X = 90 – Y.

By inserting X into the second equation, we will have 90 – Y – Y = 26 or 90 – 2Y = 26 or 2Y = 90 – 26 = 64 or Y = 64/2 = 32 ℃.

Therefore, X = 90 – 32 = 58 ℃.

Answer: 58 ℃ and 32 ℃.

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