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given that these two triangles are similar, whats the measure of A

Serious Answers Only Please 20 Points As Well As Brainliest For Correct Answer Given That These Two Triangles Are Similar Whats The Measure Of A class=

Sagot :

Answer:

Measure of angle A = 55°.

Step-by-step explanation:

From the picture attached,

[tex]\frac{AC}{LN}=\frac{BC}{LM}[/tex]

[tex]\frac{10}{5}=\frac{8}{4}[/tex]

2 = 2

Corresponding sides of the given triangles ΔACB and ΔNLM are proportional.

Therefore, ΔACB ~ ΔNLM.

m∠A = 180° - (90° + 35°) [By triangle sum theorem]

         = 180° - 125°

         = 55°

Measure of angle A is 55°.

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