How many unique triangles can be made where one angle measures 60° and another angle is an obtuse angle?

15 unique triangles can be made.      

Step-by-step explanation:

Given : A triangle has one angle measures 60° and another angle is an obtuse angle .

To find : How many unique triangles can be made ?

Solution : Since we know, that sum of all three angle of a triangle is 180°

One angle is 60°,

Second angle is obtuse angle(means angle is greater than 90°) then the third angle is acute angle(means less than 90°) .

This means the third angle is sum of two acute angle is 30°

So, The possible sum is (1+29),(2+28),(3+27),........(15+15)

Therefore, The possible ways the triangle can form is 15 ways.

Hence, 15 unique triangles can be made.                        

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step-by-step explanation: