1. Refer to the figure at the right. Line a is parallel to line b and m2 is 135 °. Find each given angle measure. Justify your answer
m9+m<10

m1

m6

m4+ m5

 this means angle

Answer:

∠9 + ∠10 = 135°      combined, they are alternate equal to ∠2

∠1 =45°                    it is supplementary to ∠2

∠6 = 45°                  it is corresponding congruent to ∠8 which is alternate

                               equal to ∠1  

∠4 + ∠5 = 135°        combined, they are corresponding congruent to ∠2  

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

All the angles are mentioned on the diagram.

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

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