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Olin [163]
3 years ago
12

Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100

°

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

<em>m<2  = 125°, m<8 = 55° and m<14 = 100°</em>

Step-by-step explanation:

The question is incomplete.

<em>Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15. Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100</em>

Given

m<9 = 80°

m<5 = 55°

From the diagram, m<5+m<6 = 180°

Substitute m<5 = 55° into the formula, to get m<6

55+m<6 = 180

m<6 = 180-55

m<6 = 125°

From the diagram m<6 = m<2  = 125° (corresponding angles)

<em>Also on line e</em>, m<9 = m<12 = 80° (vertically opposite angles)

On line f, m<14+m<16 = 180° and m<12 = m<16 = 80

m<14+80°  = 180°

m<14 = 180-80

m<14 = 100°

<em>Also on line f</em>, m<5 = m<8 (vertically opposite angles)

Since m<5 = 55°, m<8 = 55°

Also on line e, m<10 + m<12 = 180

Since m<2 = m<10 = 125° (corresponding angle)

To get m<12,

125+m<12 = 180

m<12 = 180-125

m<12 = 55°

Also m<10 = m<14 = 125° (corresponding angle)

On line e, m<10 = m<11 = 125°  (vertically opposite angle)

Also on line e, m<3 = m<11 (corresponding angle)

This shows that m<10 = m<11 = m<3 = 125°

<em>From the above calculation the angle measure that are correct are:</em>

<em> m<2  = 125°, m<8 = 55° and m<14 = 100°</em>

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