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MATH / In the figure below AB=BC, m∠ABD=30^(∘), m∠C=50^(∘) and m∠CBD=80^(∘). What is the number of degrees in the measure of angle A? [asy] draw((0,0)--1.5dir(-15)--3.5dir(60)--(0,0),line…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In the figure below AB=BCAB = BC, m∠ABD=30∘m \angle ABD = 30^{\circ}, m∠C=50∘m \angle C = 50^{\circ} and m∠CBD=80∘m \angle CBD = 80^{\circ}. What is the number of degrees in the measure of angle AA? [asy] draw((0,0)--1.5dir(-15)--3.5dir(60)--(0,0),linewidth(2)); draw(1.5dir(-15)--1.5dir(-15)+4dir(35)--3.5dir(60),linewidth(2)); label("A",(0,0),W); label("B",3.5dir(60),N); label("C",1.5dir(-15)+4dir(35),E); label("D",1.5dir(-15),S); [/asy]
Plain-text mathematical notation (without MathML)
In the figure below AB=BC, m∠ABD=30^(∘), m∠C=50^(∘) and m∠CBD=80^(∘). What is the number of degrees in the measure of angle A?

[asy]
draw((0,0)--1.5dir(-15)--3.5dir(60)--(0,0),linewidth(2));
draw(1.5dir(-15)--1.5dir(-15)+4dir(35)--3.5dir(60),linewidth(2));
label("A",(0,0),W);
label("B",3.5dir(60),N);
label("C",1.5dir(-15)+4dir(35),E);
label("D",1.5dir(-15),S);
[/asy]
Original LaTeX notation
In the figure below $AB = BC$, $m \angle ABD = 30^{\circ}$, $m \angle C = 50^{\circ}$ and $m \angle CBD = 80^{\circ}$. What is the number of degrees in the measure of angle $A$?

[asy]
draw((0,0)--1.5dir(-15)--3.5dir(60)--(0,0),linewidth(2));
draw(1.5dir(-15)--1.5dir(-15)+4dir(35)--3.5dir(60),linewidth(2));
label("A",(0,0),W);
label("B",3.5dir(60),N);
label("C",1.5dir(-15)+4dir(35),E);
label("D",1.5dir(-15),S);
[/asy]

level

Level 2

type

Geometry

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Source and history

task_id
e6237907-ece2-5047-abd1-472ad2abfc95
task_key
geometry--test--e6237907-ece2-5047-abd1-472ad2abfc95
task_revision_id
1
config / split
geometry / test

Official source

initial import