Find all possible values of x if x is the measure of an angle that satisfies the following set of conditions: The angle must have a complement, and three fourths of the supplement of the angle must have a complement.

Ledexadvanips

Ledexadvanips

Answered question

2022-08-02

Find all possible values of x if x is the measure of an angle that satisfies the following set of conditions: The angle must have a complement, and three fourths of the supplement of the angle must have a complement.

Answer & Explanation

Kelsie Marks

Kelsie Marks

Beginner2022-08-03Added 17 answers

x has a complement, so: x < 90 (1)
4 3 (180 - x) has a complement -> 4 3 (180 - x) < 90
180 x < 90 × 4 3 = 120 x > 180 120 = 60 ( 2 )
From (1) an (2) :
60 < x < 90
So possible values of x, is all the angle between 60 degrees and 90 degrees.

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