Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply
. AD bisects ∠BAC. AD bisects BC. AD forms right angles with BC. AD is perpendicular to BC. AD is the perpendicular bisector of BC.
2 answers:
Answer with explanation:
it is given that ,in ΔABC,
∠BAD=20°, and ∠CAD=54°
We have to adjust point D,so that measure of angle BAD is equal to the measure of angle CAD.
that is, if point D is moved to right of B,then ∠BAD increases from 20° to (20+x)° and ∠CAD decreases from 54° to (54-x)°.
→20 +x=54-x
⇒ 2 x= 54 -20
⇒2 x=34
x=17°
Using angle bisector theorem, if AD bisects ∠B AC.
so,
If, ∠BAD=∠CAD=37°, then
1. AD bisects ∠B AC.→→→Option A
You might be interested in
The method which is used to solve the provided equation using the distributive property is,
The distributive property is to make something easier to do or understand and to make something less complicated.
The given expression is .
The expression can be written as
Divide both sides by 0.2
Add 4 both sides, we have
Thus, the value of x is 12.5.
More about the distributive property link is given below.