Answer:
Step-by-step explanation:
=> Since it is an equilateral (Having all angles and all sides equal) triangle, so every angles will be equal to the other.
=> The sum of the measures of interior angles of triangle add up to 180 degrees.
So,
3x + 3x + 3x = 180
9x = 180
Divide both sides by 9
x = 20
Hope this helped!
<h3>~AH1807</h3>
Answer:
x = 30°, 90°, 150°
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
Given
sin2x- cosx = 0, then
2sinxcosx - cosx = 0 ← factor out cosx from each term
cosx(2sinx - 1) = 0
Equate each factor to zero and solve for x
cosx = 0 ⇒ x = 90°
2sinx - 1 = 0 ⇒ 2sinx = 1 ⇒ sinx = ⇒ x = 30° ← first quadrant
sinx > 0 in first/ second quadrant, thus
x = (180 - 30)° = 150° ← second quadrant
x = 30°, x = 90°, x = 150° for 0 ≤ x ≤ 180