An angle measures 110° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
supplementary angles means the sum of the two numbers will be 180
As the question mentions that the angle measures 110 deg more than the measure of its supplementary angle,
Let the one angle be x °.
Then , the other one = (x + 110)°
So, the sum of these two angles must be 180°,as :
⇒x + x + 110 = 180
⇒2x = 180-110 {transposing 110 to R.H.S}
⇒x = 70/2
⇒x = 35 = First angle
Second angle = (x + 110)° = (35+110)°=145°
Answer : Hence , the two angles are 35° and 145°.
Answer:
74 and 106
Step-by-step explanation:
Call the measure of one angle n. The other angle, which is 32° bigger, measures n + 32°.
Since the angles are supplementary, their measures must add to 180°. Set up an equation and solve for n.
n
+
n
+ 32°
= 180°
2
n
+ 32°
= 180°
2
n
+ 32°
− 32°
=
180° − 32°
2
n
= 148°
2
n
÷ 2
=
148° ÷ 2
n
= 74°
The first angle measures 74°. Now plug in n = 74° to find the measure of the other angle, n + 32°.
n
+ 32°
=
74° + 32°
= 106°