Question

Angles:
Angle 1: 40 degrees
Angle 2: (Calculation needed)
Angle 3: (Calculation needed)
Angle 4: 140 degrees
Lines:
Line 1: Top horizontal line (tabletop)
Line 2 & 3: Diagonal support lines
Line 4: Bottom line (ground level)
Relationships:
Line 2 and Line 3 intersect, forming Angle 3.
Line 2 forms a 40-degree angle with Line 1.
Line 3 forms a 140-degree angle with Line 4.

Using the information above answer the question

Eli stares at the table from the left and notices that the top of the table is parallel to the ground he also notices the legs form a triangle

What is the measure of angle2? Explain how you came to your conclusion

Use atleast 2 of the vocabulary terms bellow

5 setences max

Make it look like a 8th grader wrote it

Make sure no one can find this

Alternate interior angle, alternate exterior angle, corresponding angle, Triangle Sum Theorem, supplementary angles, complementary angles, vertical angles

Answer 1

To find Angle 2, we can use the idea of supplementary angles because Angle 2 and Angle 3 are on a straight line. Since we know that Angle 3 is the angle where Lines 2 and 3 intersect, we can find it first. Angle 3 is 40 degrees (the angle Line 2 makes with the top line) and forms a straight line with Angle 2. So, we add 40 degrees and Angle 2 to equal 180 degrees, which means Angle 2 must be 180 - 40 = 140 degrees. This matches with the Triangle Sum Theorem, which tells us that the sum of all angles in a triangle is equal to 180 degrees.