Question-186376

Tinku Tara June 4, 2023 Geometry 0 Comments

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Question Number 186376 by Rupesh123 last updated on 04/Feb/23

Answered by HeferH last updated on 04/Feb/23

Commented by HeferH last updated on 04/Feb/23

1.move triangle ADB

1 . m o v e t r i a n g l e A D B

Commented by HeferH last updated on 04/Feb/23

Commented by HeferH last updated on 04/Feb/23

2. now ADH is isosceles, and also AHC is isosceles (10°, 10°, 160°)

2 . n o w A D H i s i s o s c e l e s, a n d a l s o A H C i s

i s o s c e l e s (10 °, 10 °, 160 °)

Commented by HeferH last updated on 04/Feb/23

Commented by HeferH last updated on 04/Feb/23

3. △ ABH ≅ △ DCB

3 . △ A B H ≅ △ D C B

Commented by HeferH last updated on 04/Feb/23

Commented by HeferH last updated on 04/Feb/23

4. now we want to find ∠ABH = ∠ BCD = x

4 . n o w w e w a n t t o f i n d ∠ A B H = ∠ B C D = x

Commented by HeferH last updated on 04/Feb/23

Commented by HeferH last updated on 04/Feb/23

5. Since ∠BAD = 2∠ABD we can draw this segment

5 . S i n c e ∠ B A D = 2 ∠ A B D w e c a n d r a w

t h i s s e g m e n t

Commented by HeferH last updated on 04/Feb/23

Commented by HeferH last updated on 04/Feb/23

6. we have an equilateral triangle that leads to another isosceles triangle (100°, 40°,40°)

6 . w e h a v e a n e q u i l a t e r a l t r i a n g l e t h a t

l e a d s t o a n o t h e r i s o s c e l e s t r i a n g l e

(100 °, 40 °, 40 °)

Commented by HeferH last updated on 04/Feb/23

Commented by HeferH last updated on 04/Feb/23

7. finally ∠ABH = 40° = x

7 . f i n a l l y ∠ A B H = 40 ° = x

Commented by HeferH last updated on 04/Feb/23

:∣

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