I WILL GIVE BRAINLIEST FOR THE RIGHT ANSWER ONLY!

I WILL GIVE BRAINLIEST FOR THE RIGHT ANSWER ONLY!


[tex]I WILL GIVE BRAINLIEST FOR THE RIGHT ANSWER ONLY![/tex]

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  1. m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

    step-by-step explanation:

    since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

    ⇒ m∠gde = m∠edh

    ⇒ 8·x   - 1 = 6·x + 5

    ⇒ x = 3

    so, m∠gde = 8·x - 1 = 23°

    and m∠edh = 23°

    now, it is given ∠cde is an straight angle so, m∠cde = 180°

    ⇒ m∠cdf + m∠fdg + m∠gde = 180°

    ⇒ 43° + m∠fdg + 23° = 180°

    ⇒ m∠fdg = 114°

    again, m∠cde = m∠cdh + m∠edh = 180°

    m∠cdh + 23° = 180°

    ⇒ m∠cdh = 157°

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