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4 years ago

Please help!!! Please can you also tell me how you work it out thank you

Mathematics

2 answers:

ivann1987 [24]4 years ago

5 0

Answer:

x = 40 degrees

Step-by-step explanation:

There are heaps of different ways to do this, but this is how i got the answer. I think you'll find it a lot easier if you annotate the diagram as you go; at least that's what i did :)

So to figure out x, we need to find the two other angles in the big triangle, angle ADC and DCB. Since we know that all 3 angles in ANY triangle ALWAYS add up to 180 degrees, we'll be able to solve for x if we know these 2 angles.

To find angle ADC:

- we were told what ADB is and what BDC is. if you add these two values, you'll get ADC.

- so, 20 + 40 = 60 degrees.

So, now we know that ADC = 60 degrees.

To find angle DCB:

- we know that triangle DCB is an isoceles (because of the tow little lines on lines BD and CD)

- this means that angles DBC and DCB are exactly the same

- now, we know that all the angles in this little isoceles add up to 180 degrees as well.

- we know that angle BDC is 20 degrees.

- If we do 180 - 20, we get 160 degrees.

- now we know that the sum of angles DBC and DCB are 160 degrees.

- since both angles are the same, we can just divide it by 2 and we get that DCB is 80 degrees.

So, now we know that the second angle DCB in the big triangle is 80 degrees.

To find x:

All we have to do is 180 - ADC - DCB

= 180 - 60 - 80

= 40 degrees

So, x=40 degrees

Sorry if that was really long and confusing. Hope it helped a little :)

Ostrovityanka [42]4 years ago

4 0

Answer:

I only can explain it to you...

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