Answer:
<3 ~= <5 - Alternate Interior Angles Theorem
<3 ~= <7 - Corresponding Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
I = / r where I = current and r = resistance
80 = k / 50 so
k = 400
so we have I = 400/r
when r = 40
I = 400/40 = 10 amps
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If ΔGJI and ΔPKH are similar, then ∡G≅∡P, ∡J≅∡K and ∡I≅∡H.
We have m∡G + m∡P = 50°, therefore m∡G = m∡P = 50° : 2 = 25°.
m∡I = 48° therefore m∡H = 48°.
We know, the sum of the measures of the angles of a triangle is equal 180°.
Therefore we have the equation:
m∡G + m∡J + m∡I = 180°
25° + m∡J + 48° =180°
73° + m∡J = 180° <em>subtract 73° from both sides</em>
m∡J = 107° → m∡K = 107°.
<h3>Answer: ΔGJI and ΔPKH: 25°, 107°, 48°</h3>
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