△ABC is similar to △LMN. Also, angle B measures 35° and angle C measures 95°. What is the measure of angle L? Enter your

Question

△ABC is similar to △LMN. Also, angle B measures 35° and angle C measures 95°. What is the measure of angle L?

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    0
    2021-11-25T23:43:28+00:00

    Answer:

    I got  50°

    Step-by-step explanation:

    △ABC is similar to △LMN. Also, angle B measures 35° and angle C measures 95°. What is the measure of angle L?

    Enter your answer in the box. the measure of angle L = 50°

    0
    2021-11-25T23:43:35+00:00

    When two triangles are similar, the ratio of the corresponding sides are in proportion.

    Also the corresponding angles are congruent.

    Here we are given that B= 35° & C = 95°

    Now by angle sum property

    A + B + C = 180°

    A + 35 + 95 = 180

    A + 130 = 180

    Subtracting 130 from both sides, we get

    A = 180 – 130

    A = 50°.

    Now

    ΔABC ~ ΔLMN

    So by definition of similarity

    A = L

    But A = 50°.

    Hence L = 50°

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