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°.
