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Bad White [126]
3 years ago
12

Need help with this question!!!​

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

36° and 54°

Step-by-step explanation:

Let one of the acute angle be "x"

We are told that the other acute angle is 1.5 times the other angle = 1.5x

The right angle = 90°

Find the value of x:

Therefore:

90 + 1.5x + x = 180 (sum of interior angles of triangle)

Add like terms

90 + 2.5x = 180

2.5x = 180 - 90

2.5x = 90

x = 90/2.5

x = 36° (one acute angle)

✔️Second acute angle = 1.5x

Plug in the value of x

= 1.5(36)

= 54°

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How to construct 75°​
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in order to construct 75°, you need to use a protractor and a compass

step-by-step explanation:

here is a step-by-step explanation from an online source

  • step 1: draw a line segment with endpoint O and A
  • step 2: draw an arc with O as centre cutting the line segment OA at point B with a compass
  • step 3: keeping the radius same, draw an arc with B as centre cutting the arc at C
  • step 4: keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at D
  • step 5: with any radius, draw two arcs with C and D as a center. intersect these two arcs at E
  • step 6: join OE. angle EOA is the angle with measurement of 90 degrees
  • step 7: now the line OE intersect the arc at the point F
  • step 8: taking F and C as a center, make an arc with a radius of more than half of the measurement FC. the arc intersects at point H
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