Question

MATH HELP PLEASE

Answer 1

Answer:∠EFG is an interior angle of ΔEFG.

∠FEZ is an exterior angle of ΔEFG.

∠EGF and ∠FGY are supplementary angles.  

are the correct ones.

Step-by-step explanation:

Which statements regarding the diagram are true? Check all that apply.

∠XFG is an interior angle of ΔEFG.

∠EFG is an interior angle of ΔEFG.

∠FEZ is an exterior angle of ΔEFG.

∠YGE is an exterior angle of ΔEFG.

∠EGF and ∠FGY are supplementary angles.

∠FEG and ∠FGE are supplementary angles.

Answers 2, 3, and 5 are the right answers.

Answer 2

Answer: The explanation that whether given statement are correct or not is mentioned below.

Step-by-step explanation:

Linear angles are complementary.

Linear angles are complementary is incorrect.

Because, the sum of linear angles is always supplementary(180°).

And, two angles are called complementary if there sum is 90°.

Corresponding angles are congruent is not correct always.

Since it is possible if they are made on parallel lines by the same transversal.

Alternate interior angles are supplementary is not correct always.

Because, Alternate interior angles are formed when a transversal passes through two lines.

Their sum is only supplementary if they are made by perpendicular transversal on parallel lines.

Alternate exterior angles are linear is not correct.

Because, their sum is not equal to 180°.

And, Their sum is only supplementary if they are made by perpendicular transversal on parallel lines.

Vertical angles are supplementary is not correct.

Because, their sum is not equal to 180°.

The sum of the angles of a triangle is 180 degrees is correct.

Because the sum of all interior angles of a polygon is n(n-2)×180° and for Δ, n=3.

Same side interior angles are complementary is not always correct.

If they are made on the parallel lines by the same transversal then their sum is supplementary.

Linear angles are adjacent is correct.

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

Vertical angles are adjacent is not correct.

Because Vertical Angles are the angles opposite each other when two lines cross.