7. If ∠EAC measures 120oand ∠HBI measures 84o, find the measure of ∠BCA. A. m∠BCA = 60
B. m∠BCA = 84
C. m∠BCA = 36
D. m∠BCA = 54

Given:

m∠EAC = 120° and m∠HBI = 84°.

To find:

The measure of ∠BCA.

Solution:

If two lines intersect each other then the vertically opposite angles are equal.

            (Vertically opposite angles)

             ...(i)

If two angles forms a linear pair, then  their sum is 180 degrees.

                (Linear pair)

             ...(ii)

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

                (Angle sum property)

         [Using (i) and (ii)]

Therefore, the correct option is C.

17.08

correct me if i am wrong.

idk

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