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pishuonlain [190]
1 year ago
10

Find the measures of angles of triangle DEF

Mathematics
2 answers:
Alchen [17]1 year ago
8 0

Answer:

<h3>Angle E = 90° </h3><h3>Angle D= 55° </h3><h3>Angle F = 35° </h3>

Sum of all the angles of a triangle = 180° ( angle sum property).

Angle D + Angle E + Angle F = 180°

8x - 1 + 5x + 90° = 180°

8x + 5x + 89 = 180

13x = 180 - 89

13x = 91

x = 7.

Angle D = 8x - 1

= 8(7)-1

= 56 - 1

= 55

Angle E = 90° ( given)

Angle F = 5x

= 5 * 7

= 35

GREYUIT [131]1 year ago
5 0

Answer:

m∠E: 90°

m∠D: 55°

m∠F: 35°

Step-by-step explanation:

Since the interior angles of a right triangle sum up to 180°, the sum of angles D, E, F will equal 180°. We can then form an equation from that information.

90+(8x-1)+5x=180\\13x-1=90\\13x=91\\x=7

From this, we can plug in the variable.

mE=90\\mD=55\\mF=35

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The little lines on each side of the rhombus mean that all the sides are the same length.

We can set line LM and MN equal to solve for X, then we can solve the length of a side.

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