Question

Angle ABD and angle DBC are linear pairs, and angle ABD and angle EDC are vertical angles. If the measure of angle ABD=5(2x+1), the measure of angle DBC=3x+6, and the measure of angle EBC=y+135\2, select all the statements that are true A) measure of angle ABD=45 B.) measure of angle DBC=135 C.) x=13 D.)y=135 E.)measure of angle EDC =135 E.) measure of angle ABC + the measure of angle ABE=270 F.) angle DBC and angle EBC are linear pairs

Answer 1

the person who answered is right but it is also y=135

Explanation:

Answer 2

∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2

∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45

∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2

The statements that are true:
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C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs