PLS HELP 50 POINTS
Calculate m∠ABC and m∠CBD, what is the value of x?

Answer:
bottom right, x = 90
bottom left, x = 40
top left, x = 28
Step-by-step explanation:
This problem uses the variable x to mean three different numbers.
This is an incorrect use of a variable.
On the bottom right, x is a right angle, so x = 90.
On the bottom left, x + 5 = 45, so x = 40.
On the top left, 3x + 6 = 90, so x = 28.
Step-by-step explanation:
∠ABF = 90° (given)
∠ ABC + ∠CBD + ∠DBE = 180°
(sum of all angles in a straight line is 180°)
so now,
x + 5 + 45 + 3x + 6 = 180
4x + 56 = 180
4x = 180 - 56 = 124
x = 124/4 = 31
x = 31
therefore, in overall figure value of x is 31°.
hence,
∠ABC = x + 5° → 31 + 5 = 36°
∠CBD = 45° (given)
∠DBE = 3x + 6° → 3×31 + 6 → 99°.
Hope this answer helps you dear!