If Angle 1 has a measurement of 52 degrees, find the measurements of Angles 2-8. Show ALL work to receive full credit.

Angle 2 =
Angle 3 =
Angle 4 =
Angle 5 =
Angle 6 =
Angle 7 =
Angle 8 =

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mhanifa mhanifa · Answer 1 · 2020-12-19T19:20:33+01:00

Answer:

Angle 1 = 52°

Angle 2 = ∠1 = 52 ° (isosceles triangle)

Angle 3 = 180° - 2∠1 = 180° - 2(52°) = 76°

Angle 4 = ∠3 = 76° (vertical angles)

Angle 5 = 180° - 2∠4 = 180° - 2(76°) = 28°

Angle 6 = ∠4 + ∠5 = 76° + 28° = 104° (exterior angle)

Angle 7 = 180° - 2(180° - 104°) = 180° - 2(76°) = 28°

Angle 8 = ∠6 = 104° (exterior angle)

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jcherry99 jcherry99 · Answer 2 · 2020-12-19T21:13:49+01:00

Answer:

Step-by-step explanation:

Really nice problem

<1 = 52 Given

<2= 52 The triangle is isosceles. Angles are equal because they are opposite equal sides.

<3 = 180 - <1 - <2 = 180 - 2*52

<3= 180-104 = 76 Every triangle = 180 degrees.

<4 = 76 Vertically opposite angles (which are equal)

<5 = 180 - 2*76 = 28 180 - 2 base angles (76) taken away from 180

<6 = 76+28 = 104 The exterior angle equals <4 + <5

<7 = 180 - 2*Supplementary angle to <6 180 - 2*76 = 28

<8 = <7 + <4 = 28 + 76 = 104

See if you can figure out why I used angle 4