Write the given statement of the following theorem. If one angle of a triangle is 90, then the other two add to 90

Question

Mathematics

Guest

10 December, 04:35

Write the given statement of the following theorem. If one angle of a triangle is 90, then the other two add to 90

+5

Answers (2)

Know the Answer?

Rodolfo Greer · Answer 1

In Euclidean geometry, the triangle postulate states that the sum of the angles of a triangle is two right angles i. e. 180.

Solution:

Given that, Write the given statement of the following theorem. If one angle of a triangle is 90, then the other two add to 90

Now, We know that, In Euclidean geometry, the triangle postulate states that the sum of the angles of a triangle is two right angles.

So, here sum of three angles = 180

90 + sum of other two angles = 180

sum of other two angles = 180 - 90 = 90

So, sum of other two angles equals 90.

Hence, In Euclidean geometry, the triangle postulate states that the sum of the angles of a triangle is two right angles i. e. 180.

Cullen Riley · Answer 2

The given is that one angle of the triangle measures 90 degrees.

Step-by-step explanation:

The "given" is the part of a conditional statement that is accepted without proof (the "if" part). The "to prove" is the part of a conditional statement that has to be proven (the "then" part). For instance, we already accept that one of the angles is 90 degrees, so that is the given. We have to prove that the other two add up to 90 degrees.