# One of the angles is 15 degrees less than the other, and their sum is 57 degrees, calculate the large angle.

August 22, 2021 | education

| If one of the angles has an unknown number of degrees, then you can designate it with a letter of the Latin alphabet, for example, degrees.

If the second angle is 15 degrees less than the first, then we write down what it is equal to.

a – 15 degrees.

If the sum of the angles is 57 degrees. then we can make an equation, and then find how many degrees are two angles.

a + (a – 15) = 57;

2a – 15 = 57;

2a = 57 + 15;

2a = 72;

a = 72: 2;

a = 36 (gr.) – 1st.

a – 15 = 36 – 15 = 21 (gr.) – 2nd.

Answer: The large angle is 36 degrees.

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