Answer:
The measure of ∠X is 135°
Step-by-step explanation:
Given that angles X and Y are supplementary and also angle X is 3 times the measure of angle Y.
we have to find the measure of angle X.
Since X and Y are the supplementary therefore these add up to 180° i.e
[tex]\angle X+\angle Y=180\°......(1)[/tex]
Also angle X is 3 times the measure of angle Y i.e
[tex]\angle X=3\angle Y[/tex]
Substitute this value in equation (1), we get
[tex]3\angle Y+\angle Y=180\°......(1)[/tex]
[tex]4\angle Y= 180\°[/tex]
[tex]\angle Y=\frac{180\°}{4}=45\°[/tex]
[tex]\angle X=3\times 45\°=135\° [/tex]
Hence, the measure of ∠X is 135°
