Find the measures indicated in the following circles

tornesasln 2021-11-22 Answered
Find the measures indicated in the following circles
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Expert Answer

Mike Henson
Answered 2021-11-23 Author has 1098 answers

1)\(\displaystyle{2}\triangle{D}{B}{C}\ {b}{y}\ {T}{r}{i}angle\ sum\ propto{e}{r}{t}{y}\)
\(\displaystyle\angle{B}+\angle{D}+\angle{C}={180}^{{\circ}}\)
\(\displaystyle\angle{B}+{49}^{{\circ}}+{70}^{{\circ}}={180}^{{\circ}}\)
\(\displaystyle\angle{B}={61}^{{\circ}}\)
\(\displaystyle{m}\hat{{{D}{C}}}={2}\angle{B}\)
=2 x 61
\(\displaystyle={122}^{{\circ}}\)
\(\displaystyle\therefore{m}\hat{{{D}{C}}}={122}^{{\circ}}\)

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Wasither1957
Answered 2021-11-24 Author has 1513 answers
2)\(\displaystyle{x}={\frac{{{80}}}{{{2}}}}\)
x = 40
y = 2 x 35
y = 70
z = 180 - y
z = 180 - 70
= 110
z = 110
Finally answer for 2) =
x = 40
y = 70
z = 110
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