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Sagot :

Answer:

98 degrees

Step-by-step 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:

[tex]2x+64+100=360[/tex]

Simplify on the left side

[tex]2x+164=360[/tex]

Subtract 164 from both sides

[tex]2x=196[/tex]

Divide both sides by 2

[tex]x=98[/tex]

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