Wong constructs the following arqurnent:
Angle a is [missing reason 1] and therefore congruent to one angle in the triangle formed by lines m, x, and y.
Angles b and care [missing reason 2] and therefore congruent to two other angles in the triangle.
The sum of the three angles in a triangle is 180 degrees. Therefore m Za tm Zb+m lc= 18o.
What are the missing reasons in Wong's argument?
Reason 1: an alternating exterlor angle with one angle In the triangle
Reason 2: vertical angles with the other two angles In the trlangle
O
Reason 1: an alternating exterlor angle with one angle In the trlangle
Reason 2: complementary angles with the other two angles in the triangle
O

Question

zSweatestNathann zSweatestNathann

10-12-2020
Mathematics

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Wong constructs the following arqurnent:
Angle a is [missing reason 1] and therefore congruent to one angle in the triangle formed by lines m, x, and y.
Angles b and care [missing reason 2] and therefore congruent to two other angles in the triangle.
The sum of the three angles in a triangle is 180 degrees. Therefore m Za tm Zb+m lc= 18o.
What are the missing reasons in Wong's argument?
Reason 1: an alternating exterlor angle with one angle In the triangle
Reason 2: vertical angles with the other two angles In the trlangle
O
Reason 1: an alternating exterlor angle with one angle In the trlangle
Reason 2: complementary angles with the other two angles in the triangle
O

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fhytydj fhytydj · Answer 1 · 2020-12-17T16:05:32+01:00

fhytydj fhytydj

17-12-2020

Answer:

A

Step-by-step explanation:

the answer is a because i did a review with my teacher and it was a

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akposevictor akposevictor · Answer 2 · 2021-12-16T19:48:16+01:00

The missing reasons in Wong's argument will be:

Reason 1: an alternate exterior angle with one of the angles in the triangle

Reason 2: vertical angles with the other two interior angles in the triangle

Recall:

When you add all the three interior angles of a triangle together, it will always give you 180° (sum of triangle).

Vertical angles have the same angle measure.

Alternate exterior angles formed outside the the lines cut by a transversal are congruent.

Angle a in the diagram attached below is an alternate exterior angle and it will be equal to the exterior angle formed by lines m, x, and y.

Angles b and c are both vertical angles, and they will be equal to each of the angles they are directly opposite to each of the interior opposite angles in the triangle.

If we add all three angles, they should give us 180°. This therefore means that:

m∠a + m∠b + m∠c = 180°

Therefore, the missing reasons in Wong's argument will be:

Reason 1: an alternate exterior angle with one of the angles in the triangle

Reason 2: vertical angles with the other two interior angles in the triangle

Learn more about sum of triangles on:

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