问题


There is a single choice question about high school mathematics. Answer the question by replying A, B, C or D.
Question: In parallelogram $ABCD$, angle $B$ measures $110^\circ$. What is the number of degrees in the measure of angle $C$?
A. 145
B. 90
C. 60
D. 70
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D. 70
D
deepseekr1

In a parallelogram, consecutive angles are supplementary, meaning they add up to 180°. Given that angle \( B \) measures \( 110^\circ \), angle \( C \), which is consecutive to angle \( B \), must be \( 180^\circ - 110^\circ = 70^\circ \).

Answer: D. 70
D
gpto1 D D
GPT-4o In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (they add up to \(180^\circ\)).

Given that \(\angle B = 110^\circ\), we can find \(\angle C\) as follows:
\[
\angle B + \angle C = 180^\circ
\]
\[
110^\circ + \angle C = 180^\circ
\]
\[
\angle C = 180^\circ - 110^\circ
\]
\[
\angle C = 70^\circ
\]

Therefore, the measure of angle \(C\) is \(70^\circ\).

Answer: D
D
llama3.1-70B-Instruct

A
D
llama3.1-405B-Instruct

D
D
DeepSeek-Coder-V2 D. 70 D
Qwen2-72B-Instruct D. 70 D
baichuan4 D D
doubao D. Opposite angles in a parallelogram are equal. Angle B and angle C are opposite angles, so angle C also measures 110°. The sum of adjacent angles in a parallelogram is 180°, so the adjacent angle to angle B (angle A) measures 180° - 110° = 70°. And since angle A and angle C are also adjacent, angle C measures 70°. D
minimax In a parallelogram, opposite angles are equal. Since angle $B$ measures $110^\circ$, angle $C$, which is opposite angle $B$, will also measure $110^\circ$. Therefore, none of the options A, B, C, or D are correct as they do not match the correct answer of $110^\circ$. However, if forced to choose from the given options, the closest to the correct answer would be:

A. 145

But this is not the precise measure of angle $C$. The question seems to have a mistake or is missing the correct option.
D
kimi In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (they add up to 180 degrees). Since angle $B$ is given as $110^\circ$, angle $C$, which is consecutive to angle $B$, would be:

$180^\circ - 110^\circ = 70^\circ$

So, the correct answer is:

D. 70
D
wenxinyiyan D

Explanation:
In a parallelogram, opposite angles are equal, and adjacent angles are complementary (i.e., their sum is $180^\circ$).
Since angle $B$ measures $110^\circ$ and angle $C$ is adjacent to angle $B$, the sum of angles $B$ and $C$ must be $180^\circ$.
Therefore,
$\text{angle } C = 180^\circ - \text{angle } B$
$\text{angle } C = 180^\circ - 110^\circ$
$\text{angle } C = 70^\circ$
D
zhipu In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (they add up to $180^\circ$).

Given:
- $\angle B = 110^\circ$

Since opposite angles in a parallelogram are equal:
- $\angle D = 110^\circ$

Since adjacent angles in a parallelogram are supplementary:
- $\angle A + \angle B = 180^\circ$
- $\angle C + \angle D = 180^\circ$

Therefore:
- $\angle A + 110^\circ = 180^\circ$
- $\angle A = 70^\circ$

Similarly:
- $\angle C + 110^\circ = 180^\circ$
- $\angle C = 70^\circ$

So, the measure of angle $C$ is $70^\circ$.

The correct answer is:
D. 70
D
gpto1 D D
deepseekv3 In a parallelogram, consecutive angles are supplementary, meaning they add up to \(180^\circ\). Given that angle \(B\) measures \(110^\circ\), we can find the measure of angle \(C\) as follows:

\[
\angle C = 180^\circ - \angle B = 180^\circ - 110^\circ = 70^\circ
\]

Thus, the correct answer is:

**D. 70**
D