Astudent writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle abc below is equal to the measure of the exterior angle.
step 1: m∠x + m∠y + m∠z = 90 degrees (sum of adjacent angles)
step 2: m∠w + m∠z = 180 degrees (supplementary angles)
step 3: therefore, m∠x + m∠y + m∠z = m∠w + m∠z
step 4: so, m∠x + m∠y = m∠w

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

step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
step 1; it should be m∠x + m∠y + m∠z = 180 degrees (corresponding angles)
step 2; it should be m∠w + m∠z = 90 degrees (supplementary angles)
step 2; it should be m∠w + m∠z = 90 degrees (adjacent angles)

The correct option is 1.

Step-by-step explanation:

The according to the angle sum property of triangle, the sum of interior angles of a triangle is 180°.

Step 1: According to the student in triangle ABC,

Which is not correct because the sum of interior angles of a triangle is 180°. So, he did a mistake in step 1.

In triangle ABC,

   ... (1)       (sum of angles of a triangle)

Step 2:     .... (2)    (supplementary angles)

Step 3: Equating (1) and (2), we get

Stpe 4:

Therefore the correct option is 1.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

150.6

all i did was i multiplied 5.02 by 30