Which sets of side lengths could form a triangle

Mathematics

1 answer:

olga2289 [7]3 years ago

5 0

A
No 9 is bigger than the other 2 added together.
B
3+ 6 = 9. A triangle cannot be formed.
C
4+5 = 9. A triangle cannot be formed. The shorter two will just make the length of the longest side. No triangle made.
D
Yes 4+6 > 9 A triangle will be formed.
E
Yes 5 + 5 = 10 which is greater than 9. A triangle will be formed.

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What are the measures of angles 1 and 2? m_1 = m_2=

Stella [2.4K]

Answer:

m_1 = 50°

m_2= 130°

Step-by-step explanation:

$m \angle \: 1 = \frac{1}{2} ( 53 \degree +47 \degree ) \\ \\ \hspace{28pt} = \frac{1}{2} \times 100 \degree \\ \\ \huge \purple{ m \angle \: 1= 50 \degree }\\ \\ \because \angle \: 1 \: and \: \angle \: 2 \: are \: linear \: pair \: \angle s\\ \therefore \: m \angle \: 2= 180 \degree - m \angle \: 1 \\ \hspace{39 pt}= 180 \degree - 50 \degree \\ \\ \huge \red{ m \angle \: 2= 130 \degree }$