troyerrebecca troyerrebecca
  • 21-10-2018
  • Mathematics
contestada

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.

If mABC4x1 mCBD6x5 and mABD134 find the value of x and then use it to find mABC class=

Respuesta :

sid071
sid071 sid071
  • 21-10-2018

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!


Answer Link

Otras preguntas

Examples of antithesis in "the hill we climb"
A 255 g sample of ice at 0.0 0C was melted and its temperature increased to 22 0C. What was the amount of heat (q) transferred? Heat of fusion for water (ΔHfus
how is our heritage shaped by our environment?
do you see a pattern or a possible shortcut to simplify more quickly?
When researching a topic, it is important to use sources that are o biased o inaccurate o credible o unreliable
Reduce to simplest form. 3/2 + (-6/5) = ____
Need a spanish word with six letters a d the letter O being the third letter with a line on top of the O
I'm confused on what joie de vivre means​
Which of the following people live around Mount Everest and help people climb the mountain? A. Muslims B. government officials from Tibet C. Hindus D. Sherpas
f(x) = 5x^3 – 4x - 12