Question

Find m∠1 if m∠5=142 and m∠4=65

Answer 1

Answer:

103

Step-by-step explanation:

Here, m∠5 + m∠2 = 180   [ Supplementary Angles ]142 + m∠2 = 180m∠2 = 180 - 142 = 38Now, m∠2 + m∠3 + m∠4 = 180   [ Angles in a Triangle ]38 + m∠3 + 65 = 180m∠3 = 180 - 103m∠3 = 77Again, m∠3 + m∠1 = 180   [ Supplementary Angles ]m∠1 + 77 = 180m∠1 = 180 - 77 = 103In short, Your Answer would be 103 Hope this helps!

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Answer 2

Here, m∠5 + m∠2 = 180   [ Supplementary Angles ]
142 + m∠2 = 180
m∠2 = 180 - 142 = 38

Now, m∠2 + m∠3 + m∠4 = 180   [ Angles in a Triangle ]
38 + m∠3 + 65 = 180
m∠3 = 180 - 103
m∠3 = 77

Again, m∠3 + m∠1 = 180   [ Supplementary Angles ]
m∠1 + 77 = 180
m∠1 = 180 - 77 = 103

In short, Your Answer would be 103

Hope this helps!