Question

If m∠ABC=(4x-1)°, m∠CBD=(6x+5)°, and m∠ABD=134°, find the value of x and then use it to find m∠ABC.

Answer 1

Hey there!!

In the figure, we have two angles. And the sum of these both angles is mentioned as 134°.

Angle ABC is (4x-1)° and Angle CBD is (6x+5)°

Angle ABC + Angle CBD = 134°

... 4x - 1 + 6x + 5 = 134

... 10x + 4 = 134

... 10x = 134-4

... 10x = 130

... x = 130 ÷ 10

... x = 13

Now, we will have to find the angle ABC and the angle ABC is given as 4x-1.

Hence, angle A =

... 4(13)-1

... 52-1

... 51.

Hence, the required answer is 51°.

Hope my answer helps!