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Mathematics

2 answers:

Gre4nikov [31]3 years ago

8 0

Answer:

Measure of angle A = 55°.

Step-by-step explanation:

From the picture attached,

$\frac{AC}{LN}=\frac{BC}{LM}$

$\frac{10}{5}=\frac{8}{4}$

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°.

anzhelika [568]3 years ago

8 0

ANSWER:

As the above triangles are similar by AA similarity.

So, the third angle must be equal.

Therefore, ∠A = 55°.

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Nuetrik [128]

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