Question

Need help fast answer with work shown

Answer 1

(1) equilateral triangle

Explanation:

Firstly, we will find all angles of triangle BCD

we are given

m<C=60

m<A=35

m<ABD=25

we know that sum of all angles in any triangle is 180

so, we get

m<A +m<ABD+m<DBC+m<C=180

we can plug values

35+25+m<DBC+60=180

m<DBC=180-120

m<DBC=60

now, we can find other angle

m<DBC+m<C+m<CDB=180

now, we can plug values

60+60+m<CDB=180

m<CDB=180-120

m<CDB=60

So, we can see that

m<C=m<DBC=m<CDB=60

so, all angles are equal

so, triangle BCD is an equilateral triangle