Question

Pls help BD bisects LABC. Find m LABD, m m LABC = (25x + 34) °

Answer 1

∠ ABD = 67° , ∠ CBD = 67° , ∠ ABC = 134°

Explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD = 11x + 23

∠ ABC = ∠ ABD + ∠ CBD ( substitute values )

25x + 34 = 11x + 23 + 11x + 23

25x + 34 = 22x + 46 ( subtract 22x from both sides )

3x + 34 = 46 ( subtract 34 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Then

∠ ABD = 11x + 23 = 11(4) + 23 = 44 + 23 = 67°

∠ CBD = ∠ ABD = 67°

∠ ABC = 25x + 34 = 25(4) + 34 = 100 + 34 = 134°

Answer 2

Answer: ABD=67 degrees

CBD=67 degrees

ABC=134 degrees

Explanation:

ABC=ABD+CBD

25x+34=ABD+11x+23

14x+34=ABD+23

ABD=14x+11

ABD=CBD ==> Bisected angles are equal to each other since angle ABC is divided into two equal angles when bisected.

14x+11=11x+23

3x+11=23

3x=12

x=4

ABD=14x+11

ABD=14(4)+11

ABD=56+11

ABD=67 degrees

CBD=11x+23

CBD=11(4)+23

CBD=44+23

CBD=67 degrees

ABC=25x+34

ABC=25(4)+34

ABC=100+34

ABC=134 degrees