BABES HELP ME OUT HERE OKAY TYSM MUAH MUAH

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

An octagonal prism has jow many lateral faces?