352,061 views
45 votes
45 votes
Please help

abd=58 and bdc=32 what is the measure of adb​

Please help abd=58 and bdc=32 what is the measure of adb​-example-1
User Shirantha Madusanka
by
2.9k points

2 Answers

24 votes
24 votes

Answer90 degrees

Explanation:

24 votes
24 votes

Answer:

<ADB = 61degrees

Explanation:

From the diagram shown, triangle ADB is isosceles since they projected out from the chord AD. Hence;

<ABD + <ADB + <BAD = 180

Since <ADB = <BAD, then;

<ABD + <ADB + <ADB = 180

Given that:

<ABD = 58degrees

58 + 2<ADB = 180

2<ADB = 180 - 58

2<ADB = 122

<ADB = 122/2

<ADB = 61degrees

User Dhwani
by
2.7k points