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FinnZ [79.3K]
2 years ago
11

The sum of the three interior angles of a triangle is 180°. Suppose one angle is 68° and the remaining two angles are the same m

easure. Reason numerically to find the measures of the remaining angles.
Mathematics
2 answers:
disa [49]2 years ago
6 0
Answer: 56 degree

Step-by-Step Explanation:

Let measure of unknown angle be ‘x’

One angle = 68 degree
Sum of all angles is 180 => 68 + 2x = 180

Therefore,
68 + 2x = 180
2x = 180 - 68
2x = 112
x = 112/2
=> x = 56

Therefore, the measure of the missing angles is 56 degrees each.
Sedbober [7]2 years ago
3 0

Answer:

<h2>56°</h2>

Step-by-step explanation:

Let ∠A and ∠B and ∠C.

be the three interior angles of the triangle.

∠A + ∠B + ∠C = 180

If ∠A = 68  and  ∠B = ∠C .

Then

∠B + ∠C = 180 - 68 = 112

Then

2∠B  = 112

Then

∠B = 112 ÷ 2 = 56°

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