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1 answer:
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Answer:
∠ CDA = 32.3°
Step-by-step explanation:
See the given figure attached to this answer.
Draw perpendiculars from B and C on AD which is BE and CF.
Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25
⇒ AE = 4.5 cm
Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}
And CF = BE = 6 cm.
Now, Δ CFD is a right triangle and
{Where β = ∠ CDA}
⇒ Degree.
So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)
The given congruency of the sides and
and
and
as well
as the congruency of the common side gives.
ΔBEL ≅ ΔLOB by SSS congruency postulate
<h3>Which values correctly completes the table?</h3>The completed two column proof is presented as follows;
Statement Reasons
1.
1. Given
2. ≅
2.
3.
3. <u>Reflexive property of congruency</u>
4. ΔBEL ≅ ΔLOB 4. <u>SSS congruency postulate</u>
Side-Side-Side, SSS, congruency postulate states that if three sides of
one triangle are congruent to three sides of another triangle, the two
triangles are congruent.
Learn more about different congruency postulates here:
