188k views
4 votes
The answer is 35 degrees, but I am unsure of the process in order to get to that answer.

The answer is 35 degrees, but I am unsure of the process in order to get to that answer-example-1

2 Answers

5 votes
Angle ABD=180-30-25=125

We also know the angle ABD plus the angle DBC has to equal 180 so

DBC=180-125=55

We also know the right triangle has to equal 180 so

BDC=180-90-55=35

So angle BDC is 35 degrees

User Yurisnm
by
8.6k points
1 vote

Answer:

Explanation:

Hello There!

So first things first

we need to find the measure of ∠ABD

If you didn´t know the sum of the triangle angles is 180

so to find ∠ABD we subtract the given angles ( 30 and 25) from 180

180-25-30=125

so angle ∠125

Now lets find ∠DBC

∠ABD and ∠ DBC are supplementary angles so the sum of the two angles is 180

So to find ∠DBC we subtract 125 from 180

180-125=55

so ∠DBC = 55

Now we can find the measure of ∠BDC

remember like stated before the sum of all of the angles in a triangle is 180

So to find the measure of ∠BDC we subtract the given angles from 180

180-90-55=35

so we could conclude that ∠BDC = 35

Other ways to solve for ∠DBC:

angle DBC is an exterior angle of ΔABD

the measure of an exterior angle is equal to the sum of the opposite interior angles

so basically ∠DBC = ∠ADB + ∠BAD

30+25=55 so ∠DBC = 55

Other ways to find angle BDC:

Having found the measure of ∠DBA and the other opposite angle we could find ∠BDC

Like stated before the measure of an exterior angle is equal to the sum of the opposite interior angles

basically ∠DBA = ∠BDC + ∠BCA

we have the measures of ∠BCA and ∠DBA so we plug in the values

125=∠BDC+90

isolate the variable by subtracting each side by 90

125-90=35

we´re left with

∠BDC=35

I hope this helps and if you have anymore questions, feel free to ask! :)

User Josh Brobst
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories