SOLUTION: ∠A and ∠B are supplementary angles. If m∠A=(x+23)∘ and m∠B=(2x+13)∘, then find the measure of ∠A.

Algebra.Com
Question 1055348: ∠A and ∠B are supplementary angles. If m∠A=(x+23)∘ and m∠B=(2x+13)∘, then find the measure of ∠A.


Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
∠A and ∠B are supplementary angles. If m∠A=(x+23)∘ and m∠B=(2x+13)∘, then find the measure of ∠A.
-----
Equation:
x+23 + 2x+13 = 180
3x + 36 = 180
x + 12 = 60
x = 48
------
A = x+23 = 48 + 23 = 71 degrees
B = 2x+13 = 2*48 + 13 = 96+13 = 109 degrees
-------------
Cheers,
Stan H.
------------

RELATED QUESTIONS

∠A and ∠B\angle B∠B are vertical angles. If... (answered by josgarithmetic)
∠A and ∠B are vertical angles. If m∠A=(2x+15)∘ and... (answered by Boreal,ikleyn,Alan3354)
∠A and ∠B are supplementary angles. If m∠A=(5x+21)∘ and... (answered by Fombitz)
∠A and ∠B are vertical angles. If m∠A=(x+25)∘ and... (answered by stanbon)
y angles. If m∠A=(4x+8)∘ and m∠B=(3x−23)∘, then find the... (answered by ikleyn)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by Alan3354)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by Tatiana_Stebko)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by jim_thompson5910)
∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10,... (answered by math33)