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In triangle BCD to find b we first find x° = 180-(37 +71 )
= 180-108
=72°
Now to find be we use 180° - 72° =b° ( because straight angle measure 180° )
= 108°
Now in triangle ABC 2 angle is = 180-108/2
72/2
=36°
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Step-by-step explanation:
In triangle BDC
angle BDC=180⁰-(37⁰+71⁰) {Angle sum property}
angle BDC=180⁰-108⁰
angle BDC=72⁰
b⁰=180⁰- angle BDC {linear pair}
b⁰=180⁰-72⁰
b⁰=108⁰
a⁰=71⁰ {AB||CD & BC Is transversal}
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