Answers
Answer:
The answer is 28.
Step-by-step explanation:
Ok.
☆7x and 3x + 16 are congruent, meaning they equal the same.
☆Since they are equal, we can make an equation out of then.
7x = 3x + 16
☆Then we just solve.
[tex] \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4[/tex]
☆Therefore, x equals 4.
☆We are solving for m<KJL so all we need to do is plug in.
[tex]7x \\ 7(4) \\ 28[/tex]
☆You answer is 28.
The required angle is 28°
What is congruence in triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.
Given here ∠KJL=7x and ∠LJM=3x+16
now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras theorem JL²=KL²+JK² & JL²=JM²+LM²
Thus KL²+JK² = JM²+LM²
⇒ JK=JM
Thus by the SSS criterion, we can conclude that the triangles are congruent.
therefore by CPCT 7x=3x+16
4x=16
x=4
so the required angle is 7×4 =28°
Hence, ∠KJL=28°
Learn more about congruence here:
https://brainly.com/question/7888063
#SPJ2
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Answers
Answer:
Step-by-step explanation:
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