One angle measures 54 more degrees than 3 times another angle. The angles are supplementary. What are their measures?

2 answers:

4 0

Let one of the angle be x,

The other is =    3x + 54

If angles are supplementary it means they both add up to 180°

Therefore: x + (3x + 54) = 180

   x + 3x + 54 = 180

   4x + 54 = 180

   4x = 180 - 54

   4x = 126

   x = 126/4 = 31.5

So the angles are x, (x + 54) = 31.5, (31.5 + 54) = 85.5

Measures of angles are 31.5° and 85.5°

Mice21 [21]3 years ago

3 0

Another angle:    α
Three times another angle    3α
54 degrees more: +54°

The one angle: 3α + 54°

Angles are supplementary, so: α + 3α+54° = 180°
   4α = 180° - 54°
   4α = 126°
   4α :4 = 126° :4
another angle:   α = 31.5°

The one angle: 3·31.5° + 54° = 94.5 + 54° = 148.5°

The maesures of angles are: 31.5° and 148.5°

You might be interested in

On a coordinate plane, a curved line with a minimum value of (0, negative 9) and maximum values of (negative 2.3, 16) and (2.3,

nikitadnepr [17]

Answer:

(0, -9)

Step-by-step explanation:

On a coordinate plane, a curved line with a minimum value of (0, negative 9) and maximum values of (negative 2.3, 16) and (2.3, 16), crosses the x-axis at (negative 3, 0), (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 9). Which is a y-intercept of the graphed function? (–9, 0) (–3, 0) (0, –9) (0, –3)

The y-intercept is the point where x = 0, and It says there that the graph crosses the y-axis at (0, -9)

5 0

4 years ago

Read 2 more answers

In triangle ABC, AD is a median. FE is a straight line parallel to BC cutting the remaining sides AB at F and AC at E and cuttin

daser333 [38]

Answer:

Step-by-step explanation:

since AD is a median it implies that triangle ABC is bisected to two equal right angled triangle which are ADB and ADC.

FE is parrallel to BC and cuts AB at F and AC at E shows that there are two similar triangles formed which are AFE and ABC.

Recall that ADC is a right angled triangle, ED bisects a right angled triangle the the ADE = $45^{o}$ .