Question

Please help ASAP! 40 pts

Answer 1

Angle C = 60°

Angle ABD = 55°

Angle ABC = 85°

Explanation:

Angle C:

180 - 90 - 30 = 60

Using the right angle triangle

Angle ABD:

190 - 90 - 35 = 55°

Using triangle ABD

Angle ABC:

Angle ABD + Angle DBC

= 55 + 30 = 85

Answer 2

see below

Explanation:

We can find <C by adding all three angles in a triangle

<DBC + <C + <BDC = 180

30+ <C + 90 = 180

Combine like terms

120 + <C = 180

Subtract 120 from each side

120-120 + <C = 180-120

<C = 60

We can find <ABD by adding all three angles in a triangle

<ABD + <A + <BDA = 180

<ABD + 35 + 90 = 180

Combine like terms

< ABD +125 = 180

Subtract 180 from each side

< ABD +125-125 = 180-125

<ABD = 55

<ABC = <ABD + <DBC

= 55 + 30

< ABC = 85