Answer:
∠ B = 85°
Step-by-step explanation:
Complementary angles sum to 90° , then
x - 23 + 2x + 29 = 90 , that is
3x + 6 = 90 ( subtract 6 from both sides )
3x = 84 ( divide both sides by 3 )
x = 28
Then
∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°
Answer:
c
Step-by-step explanation:
substitute (2,1) and (5,4) into each equation
2-1=1 and 5-4=1 so c is correct
Answer:
the answer is c
Step-by-step explanation:
see picture
Option C:
x = 30
Solution:
The given image is a triangle.
angle 1, angle 2 and angle 3 are interior angles of a triangle.
angle 4 is the exterior angle of a triangle.
m∠4 = 2x°,
, m∠3 = 20°
Exterior angle theorem:
<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>
By this theorem,
m∠4 = m∠2 + m∠3

Subtract
on both sides of the equation.

To make the denominator same and then subtract.


Multiply by
on both sides of the equation.
x° = 30°
x = 30
Hence option C is the correct answer.