Let’s find out what value the third angle in the first triangle will correspond to, if from the condition of our problem we know for sure that the other two are equal to 40 ° and 50 °, respectively:
180 – 40 – 50 = 90.
That is, the angles of the first triangle are 40 °, 50 ° and 90 °.
As we can see from the condition of the assignment, the second triangle also has angles that are equal to 90 ° and 40 °.
Thus, the first similarity condition is fulfilled – two angles of one are equal to two angles of the other.
Answer: Yes, the triangle indicated in the condition is similar.
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