The two outer corners of the triangle are 100 ‘and 150’. what is the third outer corner?

Let us find out how many degrees the angle of the triangle is determined, which, according to the condition of the problem, corresponds to an external angle of 100 °:

180 – 100 = 80.

Let us find out how many degrees the angle of the triangle is determined, which, according to the condition of the problem, corresponds to an external angle of 150 °:

180 – 150 = 30.

Let us determine what then the third corner of our triangle will be equal to:

100 – 80 – 30 = 180 – 110 = 70.

Let us determine what the required external angle is equal to:

180 – 70 = 110.

Answer: It is equal to 110 °.



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