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2. The sum of the measures of angle X and angle Y is 90. If the measure of angle X'is 30 less than
twice the measure of angle Y, what is the measure of angle X?
200
359
50
65°

Thank you.

Respuesta :

calculista

Answer:

The measure of angle x is 50 degrees

Step-by-step explanation:

we know that

[tex]x+y=90[/tex] ----> equation A

[tex]x=2y-30[/tex] ----> equation B

solve the system by substitution

substitute equation B in equation A

[tex](2y-30)+y=90[/tex]

solve for y

[tex]3y=90+30[/tex]

[tex]3y=120[/tex]

[tex]y=40^o[/tex]

Find the measure of angle x

[tex]x=2(40)-30=50^o[/tex]

therefore

The measure of angle x is 50 degrees

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