knwwhitson
knwwhitson knwwhitson
  • 08-06-2022
  • Mathematics
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Find the measure of angle F if angle D = 88°

Find the measure of angle F if angle D 88 class=

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KurdishPotato
KurdishPotato KurdishPotato
  • 10-06-2022

Answer:

52

Step-by-step explanation:

Two triangles are similar

m<B = m<E

m<C = m<D

m<A = m<F

now, the sum of interior angles in a triangle is equal to 180

angle B is given as 40 (so angle E is also 40) and angle D is given as 88 to find m<F:

40 + 88 + m<F = 180 add like terms

128 + m<F = 180 subtract 128 from both sides

m<F = 52

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