We can’t know, since the original price was never displayed
Since this is an isosceles triangle (indicated by the two tick marks on the sides), we know that the base angles are congruent, and we therefore know that x = 30 degrees.
Since interior angles of a triangle always add to equal 180 degrees, we can find y using the following equation:
180 = 30 + 30 + y
180 = 60 + y
120 = y
We can further deduce that z also equals 24, since, as stated before, the two sides with the tick marks are congruent.
Answer:
x = 30 degrees
y = 120 degrees
z = 24
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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