Question

3. Given the image below, find the measure of ZYVZ, in degrees.
(3x + 5)º
N

Answer 1

∠ YVZ = 56°

Explanation:

∠ WVZ = 90° ( given ), thus

∠ WVY + ∠ YVZ = 90, substitute values

2x + 3x + 5 = 90

5x + 5 = 90 ( subtract 5 from both sides )

5x = 85 ( divide both sides by 5 )

x = 17

Thus

∠ YVZ = 3x + 5 = 3(17) + 5 = 51 + 5 = 56°

Answer 2

< YVZ = 56

2X + (3X + 5) = 90 ( COMPLEMENTARY ANGLES )

5X + 5 = 90

5X= 90-5

5X = 85

X = 85/5

X= 17

Accordin to the question = 3x + 5

= 3* 17 + 5 =

= 51 + 5 += 56