Angle A measures (x + 13) °. Angle B is complementary to angle A and measures (2x +23) °.
a. Write and solve an equation to find the value of x.
Not sure how to write the equation but the value of x = 18
b. What are the measures of angle a and angle b?
angle a = 31°
angle b = 59°
how did you get x without writing the equation? lol anyway
90=2x+23+x+13
90=3x+36
54=3x
18=x
34
Looks good (x+13) + (2x+23) = 90
What I do first may be different from what other people do first but what I do
first is combine like terms 3x+36. 90-36=54. Then, 3x/3 54/3 x=18. Then take the original equation (x+13) + (2x+23) = 90 and make the x's 18. (18+13) + (36+23) = 90
Angle A: 31
Angle B: 59
To solve this problem, we can use the fact that complementary angles add up to 90 degrees. Let's go step by step:
a. Write and solve an equation to find the value of x.
We know that angle A measures (x + 13)° and angle B is complementary to angle A and measures (2x + 23)°.
Since angle A and angle B are complementary, we can write the equation:
(x + 13) + (2x + 23) = 90
Simplifying the equation, we get:
3x + 36 = 90
Next, we can solve for x by isolating it on one side of the equation:
3x = 90 - 36
3x = 54
Dividing both sides of the equation by 3, we find:
x = 54 / 3
x = 18
Therefore, the value of x is 18.
b. What are the measures of angle A and angle B?
Now that we know the value of x is 18, we can substitute it back into the expressions for angle A and angle B.
Angle A = (x + 13)°
Angle A = 18 + 13
Angle A = 31°
Angle B = (2x + 23)°
Angle B = 2 * 18 + 23
Angle B = 59°
Therefore, the measure of angle A is 31° and the measure of angle B is 59°.
I just need help writing the equation, can someone help please?
Complementary means they add up to 90 degrees.
(x+13) + (2x+23) = 90