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
∠ 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 <span>statements that are true: --------------------------------------</span><span> C.) x=13 E.)measure of angle EBC =135 F.) angle DBC and angle EBC are linear pairs
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