Answer:
m∠A = 90°
Step-by-step explanation:
In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!
m∠B = m∠C
11x - 10 = 7x + 10
4x - 10 = 10
4x = 20
x = 5
Now let's insert x back in the expressions for angles.
m∠B = (11x − 10)° = (11(5) − 10)° = 45°
m∠C = (7x + 10)° = (7(5) + 10)° = 45°
<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.
m∠A + m∠B + m∠C = 180°
m∠A + 45°+ 45° = 180°
m∠A = 90°
Answer:
a=60
Step-by-step explanation:
Answer:
54 degrees
Step-by-step explanation:
This is trigonometry. So we are given the adjacent leg and hypotenuse. So we can use cosine(cah from soh cah toa)
We will have to use the inverse of the trig ratios.
Remember!
cos^-1 is not 1/cos(that is sec)
cos^-1(27/46)
acos(27/46)
54.0586701 and so on
Round to nearest degree 54
