66,013 views
35 votes
35 votes
ASAP help me with this PLEASE

ASAP help me with this PLEASE-example-1
User Cychoi
by
3.0k points

1 Answer

10 votes
10 votes

Answer:

98 degrees

Explanation:

In a quadrilateral, we have 4 angles whose sum is 360 degrees which can be derived using the Exterior Angle Sum Theorem which essentially states that any convex polynomial will have a sum of 360 degrees for it's exterior angles.

Since we know that two of the angles are equal, we can just represent angle A and D as "x", and since they're congruent, and there is two of them, the sum can be represented as "2x"

So using all the known values we can set up the following equation:


2x+64+100=360

Simplify on the left side


2x+164=360

Subtract 164 from both sides


2x=196

Divide both sides by 2


x=98

Since we know that "x" represents both angle A and B, then the angle A is 98 degrees.

User Tozar
by
2.9k points