Question

In the rhombus m∠1=160°. What are m∠2 and m∠3? angle 1 and angle 2 are opposites

Answer 1

[AI-generated answer — Bot GPT 3.5]

In a rhombus, opposite angles are equal. Therefore, if m∠1 is 160°, then m∠2 (the opposite angle to m∠1) would also be 160°.

Since m∠2 = 160°, it means that m∠3 (which is adjacent to m∠2) is also 160°.

Therefore, m∠2 and m∠3 are both 160°.

Answer 2

angle 3 should not be 160

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the mistake. In a rhombus, opposite angles are equal, so if m∠1 is 160°, then m∠3 (the opposite angle to m∠1) would also be 160°.

Since m∠1 = m∠3 = 160°, the sum of the measures of these two angles would be 320°.

To find m∠2, we can use the fact that the sum of the interior angles of a rhombus is always 360°.

360° - 320° = 40°

Therefore, m∠2 is 40°.

To summarize,

m∠1 = 160°
m∠2 = 40°
m∠3 = 160°

Answer 4

[AI-generated answer — Explain Bot]

To find the measures of angles 2 and 3 in a rhombus, we need to use the properties of rhombuses. Here's how you can find them:

Step 1: Recall that in a rhombus, opposite angles are equal. In other words, angle 1 must be equal to angle 3.

Step 2: Since angle 1 measures 160°, we know that angle 3 also measures 160°.

Step 3: Remember that the sum of the measures of angles in any quadrilateral is always 360°. Since a rhombus is a type of quadrilateral, we can use this property to find angle 2.

Step 4: Subtract the sum of angles 1 and 3 from 360° to find angle 2.

Let's calculate angle 2:
360° - (angle 1 + angle 3) = angle 2
360° - (160° + 160°) = angle 2
360° - 320° = angle 2
angle 2 = 40°

Therefore, angle 2 measures 40° and angle 3 measures 160°.