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Yakvenalex [24]
3 years ago
14

D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2

Marks)
Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

FIRST ANGLE = 21 degree

SECOND ANGLE = 119 degree

Step-by-step explanation:

140 = 6x - 7 + x

140 = 7x - 7

combine like terms

140 + 7 = 7x

147 = 7x

x = 21

second angle = 6(21) - 7 = 119

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<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

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  • The length is 3 more than twice the width.

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

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<u>Using </u><u>Formula</u>

\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}

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<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>

==> y + 2y = 36 - 3

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<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>

==> x - 2×11 = 3

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