Answer:
66°
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
x + y = z
5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
The correct answer is B. Hope this helps!
Answer:
Is this a question? A recipe? Or a challenge?
Step-by-step explanation:
Part (a)
Step-by-step Explanation:
As ∠K is a right angle.
i.e.
also
<u>Equation to find x</u>
As we know that The angle sum of a Triangle is 180°.
so
m∠K + m∠L + m∠M = 180°
Part (b)
Step-by-step Explanation:
Finding the degree measures of each angle.
As
As ∠K is a right angle.
so
Putting in m∠L = (2x+19)°
m∠L = (2x+19)°
=
so
m∠L = 39.8°
Putting in m∠M = (3x+21)°
m∠M = (3x+21)°
so
m∠M = 50.2°
Verification:
m∠K + m∠L + m∠M = 180°
90° + 39.8° + 50.2° = 180°
90° + 90° = 180° ∵ 39.8° + 50.2° = 90°
180° = 180°