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If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?

being timed help asappp picture attatched If the measure of angle 4 is 11 x degrees and angle 3 is 4 x degrees what is the measure of angle 3 in degrees class=

Respuesta :

joseaaronlara

Answer:

The answer to your question is ∠3 = 24°

Step-by-step explanation:

Data

∠4 = 11x

∠3 = 4x

Process

1.- From the picture, we know that angles 3 and 4 are complementary so if we sum them up the result is 90°.

                                   ∠3 + ∠4 = 90°

2.- Substitution

                                    4x + 11x = 90°

3.- Simplification and result

                                            15x = 90°

                                                x = 90/15

                                               x = 6        

4.- Find angle 3

                                ∠3 = 4(6)

                                ∠3 = 24°      

Answer: 24

Step-by-step explanation:

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