What is the third angle of a triangle if: a) one angle of the triangle is 48 degrees, the other is 59

What is the third angle of a triangle if: a) one angle of the triangle is 48 degrees, the other is 59 degrees. b) one corner of the triangle is 20 degrees, the other is 2 times more

a) According to the theorem: the sum of the angles of a triangle on the Euclidean plane is 180 °.

From the conditions, one angle = 48 °, the other 59 °. Then we have:

48 + 59 + x = 180, where x is the third corner of the triangle,

107 + x = 180,

x = 180 – 107,

x = 73 °.

Answer: the third angle of the triangle = 73 °.

b) Find the second angle, which from the condition of the problem is 2 times larger => x = 2 * 20 = 40 °

According to the theorem on the sum of angles, we obtain

20 + 40 + y = 180,

60 + y = 180,

y = 180 – 60,

y = 120 °.

Answer: 40 °, 120 °.