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Alja [10]
3 years ago
6

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b

elow is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of triangle extends into a straight line. The angle formed between this straight line and the edge of triangle is marked as d. The angle adjacent to w is marked as c, and the other two angles inside the triangle are marked as a and b.

Step 1: m∠a + m∠b + m∠c = 90 degrees (complementary angles)
Step 2: m∠d + m∠c = 180 degrees (supplementary angles)
Step 3: Therefore, m∠a + m∠b + m∠c = m∠d + m∠c
Step 4: So, m∠a + m∠b = m∠d

In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠a + m∠b + m∠c = 180 degrees (corresponding angles)
Step 1; it should be m∠a + m∠b + m∠c = 180 degrees (sum of angles of a triangle)
Step 2; it should be m∠d − m∠c = 90 degrees (alternate interior angles)
Step 2; it should be m∠d − m∠c = 90 degrees (adjacent angles)
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0
<h2><u>20484k3djslfsosownd918</u><u>4</u></h2>
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