Geometry

# Angles and Lines - Problem Solving

In parallelogram $ABCD$, the green angle $\angle ABC = 58 ^ \circ$. What is the pink angle $\angle ADC$?

In the above diagram, line segment $\overline{AB}$ is parallel to line segment $\overline{CD}.$ If $\alpha={70}^\circ$ and $\beta={28}^\circ,$ then what is the angle $\angle OCD ?$

Given quadrilateral $ABCD$ where $AB$ is parallel to $DC$ and $AC$ and $BD$ intersect at $E$, with $\angle BEC = 58 ^\circ$ and $\angle ACD = 31 ^\circ$, what is $\angle ABE$ (in degrees)?

$L_1$ is parallel to $L_2$ and $\alpha={54}^\circ,$ $\beta={84}^\circ$ and $\gamma={21}^\circ.$ What is the angle $\omega$ in degrees?

Consider a 6 sided star that is formed from 2 triangles as above. What is the sum of the angles at A, B, C, D, E and F?

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The text passage contains multiple geometry problems, each asking for the measure of a specific angle or the sum of angles in a geometric figure.
multiple_questions
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Geometry

# Angles and Lines - Problem Solving

In parallelogram $ABCD$, the green angle $\angle ABC = 58 ^ \circ$. What is the pink angle $\angle ADC$?

In the above diagram, line segment $\overline{AB}$ is parallel to line segment $\overline{CD}.$ If $\alpha={70}^\circ$ and $\beta={28}^\circ,$ then what is the angle $\angle OCD ?$

Given quadrilateral $ABCD$ where $AB$ is parallel to $DC$ and $AC$ and $BD$ intersect at $E$, with $\angle BEC = 58 ^\circ$ and $\angle ACD = 31 ^\circ$, what is $\angle ABE$ (in degrees)?

$L_1$ is parallel to $L_2$ and $\alpha={54}^\circ,$ $\beta={84}^\circ$ and $\gamma={21}^\circ.$ What is the angle $\omega$ in degrees?

Consider a 6 sided star that is formed from 2 triangles as above. What is the sum of the angles at A, B, C, D, E and F?

×
user
The text passage contains multiple geometry problems, each asking for the measure of a specific angle or the sum of angles in a geometric figure.

TYPE: MULTIPLE_QUESTIONS