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

b

step-by-step explanation:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)