Find the measure of the unknown angle.
1 answer:
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Answer:
I measures 60° ⇒ 3rd answer
Step-by-step explanation:
* Look to the attached figure
- To prove that the two triangles are similar by SAS we must to
find two proportional pairs of corresponding side and the measure
of the including angles between them are equal
- The given is:
m∠ F = 60°
EF = 40 , FG = 20
HI = 20 , IJ = 10
- To prove that the Δ EFG is similar to Δ HIJ we must to prove
# EF/ HI = FG/IJ ⇒ two pairs of sides proportion
# m∠ F = m∠ I ⇒ including angles equal
∵ EF = 40 and HI = 20
∴ EF/HI = 40/20 = 2
∵ FG = 20 and IJ = 10
∴ FG/IJ = 20/10 = 2
∵ EF/HI = FG/IJ = 2
∴ The two pairs of sides are proportion
∵ ∠ F is the including angle between EF and FG
∵ ∠ I is the including angle between HI and IJ
∴ m∠ F must equal m∠ I
∵ m∠ F = 60° ⇒ given
∴ m∠ I = 60°
* I measures 60°
The step 7 is a wrong step, because in the denominator 1 is written in place of 2.
<h3>What is a quadratic equation?</h3>The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
Two of the steps in the derivation of the quadratic formula are shown below.
The equation is given below.
Then the above equation can be written as
The step 7 is a wrong step, because in the denominator 1 is written in place of 2.
More about the quadratic equation link is given below.
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