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3 years ago

CAN SOMEONE PLEASE HELP ME PLEASE

Mathematics

1 answer:

Natasha2012 [34]3 years ago

7 0

Answer:

∠CDF= 70°

Step-by-step explanation:

there's an easier way to do this which is adding the angles ∠EDG and ∠GDF and then subtracting that from 180° but, checking your work in the same process is a little more work.

First, I'd like to find ∠ADB.

85°+70°= 155°
180°-155°= 25°
∠ADB= 25°

Second, add all the angles together.

70°+50°+60°+85°+25°= 290°
360°-290°= 70°

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Read 2 more answers

BD is the angle bisector of

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Note: Let us consider, we need to find the $m\angle ABC$ and $m\angle DBC$ .

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The $m\angle ABC$ and $m\angle DBC$ .

Solution:

BD is the angle bisector of ABC. So,

$m\angle ABD=m\angle DBC$

$3x=x+20$

$3x-x=20$

$2x=20$

Divide both sides by 2.

$x=\dfrac{20}{2}$

$x=10$

Now,

$m\angle DBC=(x+20)^\circ$

$m\angle DBC=(10+20)^\circ$

$m\angle DBC=30^\circ$

And,

$m\angle ABC=(3x)^\circ+(x+20)^\circ$

$m\angle ABC=(4x+20)^\circ$

$m\angle ABC=(4(10)+20)^\circ$

$m\angle ABC=(40+20)^\circ$

$m\angle ABC=60^\circ$

Therefore, $m\angle DBC=30^\circ,m\angle ABD=30^\circ$ and $m\angle ABC=60^\circ$ .

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3 years ago