In ∆abc the angle bisectors drawn from vertexes a and b intersect at point d. find ∠adb if:
m∠c = γ

155°

Step-by-step explanation:

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA =

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

+ ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

what i would say the best answer is a. 40.5