Question

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

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.

Answer 2

Answer:

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.