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alexandr402 [8]
3 years ago
6

8. In ΔRST, m∠R = (2x + 10)°, m∠S = (2x + 25)°, and m∠T = (x – 5)°.

Mathematics
2 answers:
Stolb23 [73]3 years ago
8 0
The measures of the angles in a triangle add up to 180°.
(2x+10)^\circ+(2x+25)^\circ+(x-5)^\circ=180^\circ \\
2x+10+2x+25+x-5=180 \\
5x+30=180 \\
5x=180-30 \\
5x=150 \\
x=\frac{150}{5} \\
\boxed{x=30}
elixir [45]3 years ago
7 0
The sum of the measures of the interior angles of a triangle is 180^{\circ}.

So,
2x+10+2x+25+x-5=180\\
5x=150\\
x=30
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<h2>m∠ACE = 90°</h2>

Step-by-step explanation:

Figure Interpretation:

m∠CBA + m∠CDE = 180

m∠BCA = (180-m∠CBA)/2

m∠DCE = (180-m∠CDE)/2

=======================

Then

m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2

                                = [360-(m∠CBA+m∠CDE)]/2

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finally,

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8 0
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