Consider In square ABCD, the diagonals intersect at G.
If mLAGD = a + 2b and mzABC = 2a - b, find the values of
a and b.
C

a = 54

b = 18

Step-by-step explanation:

ABCD is a square. It's diagonals AC and BD intersects at G.

Since, diagonals of a square bisects at right angles.

Since, measure of each angle of a square is right angle.

From equations (1) & (2)

2(90° - 2b) - b = 90°

180° - 4b - b = 90°

-5b = 90° - 180°

-5b = - 90°

b = - 90°/(-5)

b = 18

Plug b = 18 in equation (1)

a = 90° - 2*18

a = 90° - 36°

a = 54

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