Which sets of measurements could be the interior angle measures of a triangle? Select each correct answer.(There is more than on
2 answers:
Answer:
The set of measurements that could be the interior angle measures of a triangle are: 15°, 75°, 90° and 60°, 60°, 60°.
Step-by-step explanation:
A triangle is a two dimensional shape that is bounded by three sides and has three angles. They are majorly classified either by their sides or by the size of the interior angles.The interior angle of a given triangle is either of its three internal angles.
One major properties of triangles is that, the sum of the interior angles of equals .
So, from the given question, the set of measurements that could be the interior angle measures of a triangle are: 15°, 75°, 90° and 60°, 60°, 60°.
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Let's assume x be the number.
Given that, one number is twice the other number. Hence, the second number be 2x.
So, x= smaller number and 2x= larger number.
Given that, difference of x and half of 2x is 20. Hence,
x-x=20 (By simplifying)
0=20
From the above result we can see that x has vanish and we are left with 0=20 which is mathematically not correct.
Hence, there is no solution.