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Please help, question is in photo below, about finding angles.AWARDING MORE POINTS

Please help, question is in photo below, about finding angles.AWARDING MORE POINTS-example-1

2 Answers

3 votes

Answer:

x=7

m<ABD=37°

m<DBC=58°

Explanation:

Add the two equations. They need to equal 95. Solve for x.

(2x+23)+(9x-5)=95

11x+18=95

11x=95-18

11x=77

x=7

Substitute 7 in for x to both equations to solve for the angle degrees.

m<ABD=2x+23 = 2(7)+23 = 14+23 = 37

m<DBC=9x-5 = 9(7)-5 = 63-5 = 58

CHECK: 37+58=95

User Moliware
by
5.0k points
1 vote

Explanation:


(2x + 23) + (9x - 5) = 11x + 18 \\ 11x + 18 = 95 \: \: \: \: 11x = 77 \\ x = 7 \\ abd = (2 * 7) + 23 = 37 \\ dbc = (2 * 9) - 5 = 13

User EHF Shahab
by
4.5k points