Question

Please Help!!

What is the measure of angle AXB?

Answer 1

180 degrees

Step-by-step explanation: the measure of angle AXB is ( a + a ) and the sum of the measured angles AXB and BXC = 180 , so a + ( a + a) = 180.

both these angles add up to be 180 degrees because they are both supplementary angles they both share the sides of x and b.

if it confuses you, just use a bit of repeated addition and multiplication

for example : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150

because you add 30 , 5 times .

Answer 2

Explanation:

Two angles are supplementary when their sum is 180

∠AXB + ∠BXC = 180° {Supplementary angles}

8x + 10 + 2x - 20 = 180

Add the like terms

10x - 10 = 180

10x = 180 + 10

10x = 190

x = 190/10

x = 19°

∠AXB = 8x + 10

= 8 * 19 +10

= 152 + 10

∠AXB = 162