I need help answering these questions. Can you guys answer all these 3 questions. Thank you

Mathematics

1 answer:

julsineya [31]3 years ago

3 0

For number 7:

a) The sum of the adjacent angles is 180. Because if its any three angles thats half of the angles all together 3/6 = 180/360.

b) The sum of the angles in the center is 360 degrees. Because 60 x 6 = 360.

c) The unknown angles (center angles) are 61.25 degrees.

For number 8 (bonus):

It's C) 90 Degrees, because it's a right angle.

Hope this helps :)

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Geometry Proof - Thanks in advance for the help!

RideAnS [48]

Answer:

Using reflexive property (for side), and the transversals of the parallel lines, we can prove the two triangles are congruent.

Step-by-step explanation:

Since AB and DC are parallel and AC is intersecting in the middle, you can make out two pairs of alternate interior angles<em>.</em> These angle pairs are congruent because of the alternate interior angles theorem. The two pairs of congruent angles are: ∠DAC ≅ ∠BCA, and ∠BAC ≅ ∠DCA.
With the reflexive property, we know side AC ≅ AC.
Using Angle-Side-Angle theorem, we can prove ΔABC ≅ ΔCDA.