Question

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

Answer 1

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!

Answer 2

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.